Rings of congruence preserving functions.
Ontology highlight
ABSTRACT:
SUBMITTER: Maxson CJ
PROVIDER: S-EPMC6182409 | biostudies-other | 2018
REPOSITORIES: biostudies-other
Publications
Rings of congruence preserving functions.
Maxson C J CJ Saxinger Frederik F
Monatshefte fur Mathematik 20171108 3
Let C 0 ( G ) denote the near-ring of congruence preserving functions of the group <i>G</i>. We investigate the question "When is C 0 ( G ) a ring?". We obtain information externally via the lattice structure of the normal subgroups of <i>G</i> and internally via structural properties of the group <i>G</i>. ...[more]
Similar Datasets
Project description:Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft congruence relations by using the soft set theory. The notions of soft quotient rings, generalized soft ideals and generalized soft quotient rings, are introduced, and several related properties are investigated. Also, we obtain a one-to-one correspondence between soft congruence relations and idealistic soft rings and a one-to-one correspondence between soft congruence relations and soft ideals. In particular, the first, second, and third soft isomorphism theorems are established, respectively.
| S-EPMC4032665 | biostudies-other
Project description:The bacterial envelope integrates essential stress-sensing and adaptive functions; thus, envelope-preserving functions are important for survival. In Gram-negative bacteria, envelope integrity during stress is maintained by the multi-gene Psp response. Mycobacterium tuberculosis was thought to lack the Psp system since it encodes only pspA and no other psp ortholog. Intriguingly, pspA maps downstream from clgR, which encodes a transcription factor regulated by the MprAB-?(E) envelope-stress-signaling system. clgR inactivation lowered ATP concentration during stress and protonophore treatment-induced clgR-pspA expression, suggesting that these genes express Psp-like functions. We identified a four-gene set - clgR, pspA (rv2744c), rv2743c, rv2742c - that is regulated by clgR and in turn regulates ClgR activity. Regulatory and protein-protein interactions within the set and a requirement of the four genes for functions associated with envelope integrity and surface-stress tolerance indicate that a Psp-like system has evolved in mycobacteria. Among Actinobacteria, the four-gene module occurred only in tuberculous mycobacteria and was required for intramacrophage growth, suggesting links between its function and mycobacterial virulence. Additionally, the four-gene module was required for MprAB-?(E) stress-signaling activity. The positive feedback between envelope-stress-sensing and envelope-preserving functions allows sustained responses to multiple, envelope-perturbing signals during chronic infection, making the system uniquely suited to tuberculosis pathogenesis.
| S-EPMC4642893 | biostudies-literature
Project description:The Schizosaccharomyces pombe sirtuin Hst4, functions in the maintenance of genome stability by regulating histone H3 lysine56 acetylation (H3K56ac) and promoting cell survival during replicative stress. However, its molecular function in DNA damage survival is unclear. Here, we show that hst4 deficiency in the fission yeast causes S phase delay and DNA synthesis defects. We identified a novel functional link between hst4 and the replisome component mcl1 in a suppressor screen aimed to identify genes that could restore the slow growth and Methyl methanesulphonate (MMS) sensitivity phenotypes of the hst4? mutant. Expression of the replisome component Mcl1 rescues hst4? phenotypes. Interestingly, hst4 and mcl1 show an epistatic interaction and suppression of hst4? phenotypes by mcl1 is H3K56 acetylation dependent. Furthermore, Hst4 was found to regulate the expression of mcl1. Finally, we show that hSIRT2 depletion results in decreased levels of And-1 (human orthologue of Mcl1), establishing the conservation of this mechanism. Moreover, on induction of replication stress (MMS treatment), Mcl1 levels decrease upon Hst4 down regulation. Our results identify a novel function of Hst4 in regulation of DNA replication that is dependent on H3K56 acetylation. Both SIRT2 and And-1 are deregulated in cancers. Therefore, these findings could be of therapeutic importance in future.
| S-EPMC5981605 | biostudies-literature
Project description:Expansion of DNA trinucleotide repeats causes at least 15 hereditary neurological diseases, and these repeats also undergo contraction and fragility. Current models to explain this genetic instability invoke erroneous DNA repair or aberrant replication. Here we show that CAG/CTG tracts are stabilized in Saccharomyces cerevisiae by the alternative clamp loader/unloader Ctf18-Dcc1-Ctf8-RFC complex (Ctf18-RFC). Mutants in Ctf18-RFC increased all three forms of triplet repeat instability--expansions, contractions, and fragility--with effect over a wide range of allele lengths from 20-155 repeats. Ctf18-RFC predominated among the three alternative clamp loaders, with mutants in Elg1-RFC or Rad24-RFC having less effect on trinucleotide repeats. Surprisingly, chl1, scc1-73, or scc2-4 mutants defective in sister chromatid cohesion (SCC) did not increase instability, suggesting that Ctf18-RFC protects triplet repeats independently of SCC. Instead, three results suggest novel roles for Ctf18-RFC in facilitating genomic stability. First, genetic instability in mutants of Ctf18-RFC was exacerbated by simultaneous deletion of the fork stabilizer Mrc1, but suppressed by deletion of the repair protein Rad52. Second, single-cell analysis showed that mutants in Ctf18-RFC had a slowed S phase and a striking G2/M accumulation, often with an abnormal multi-budded morphology. Third, ctf18 cells exhibit increased Rad52 foci in S phase, often persisting into G2, indicative of high levels of DNA damage. The presence of a repeat tract greatly magnified the ctf18 phenotypes. Together these results indicate that Ctf18-RFC has additional important functions in preserving genome stability, besides its role in SCC, which we propose include lesion bypass by replication forks and post-replication repair.
| S-EPMC3037408 | biostudies-literature
Project description:BackgroundThe retention of ancestral juvenile characters by adult stages of descendants is called paedomorphosis. However, this process can mislead phylogenetic analyses based on morphological data, even in combination with molecular data, because the assessment if a character is primary absent or secondary lost is difficult. Thus, the detection of incongruence between morphological and molecular data is necessary to investigate the reliability of simultaneous analyses. Different methods have been proposed to detect data congruence or incongruence. Five of them (PABA, PBS, NDI, LILD, DRI) are used herein to assess incongruence between morphological and molecular data in a case study addressing salamander phylogeny, which comprises several supposedly paedomorphic taxa. Therefore, previously published data sets were compiled herein. Furthermore, two strategies ameliorating effects of paedomorphosis on phylogenetic studies were tested herein using a statistical rigor. Additionally, efficiency of the different methods to assess incongruence was analyzed using this empirical data set. Finally, a test statistic is presented for all these methods except DRI.ResultsThe addition of morphological data to molecular data results in both different positions of three of the four paedomorphic taxa and strong incongruence, but treating the morphological data using different strategies ameliorating the negative impact of paedomorphosis revokes these changes and minimizes the conflict. Of these strategies the strategy to just exclude paedomorphic character traits seem to be most beneficial. Of the three molecular partitions analyzed herein the RAG1 partition seems to be the most suitable to resolve deep salamander phylogeny. The rRNA and mtDNA partition are either too conserved or too variable, respectively. Of the different methods to detect incongruence, the NDI and PABA approaches are more conservative in the indication of incongruence than LILD and PBS.ConclusionPaedomorphosis induces strong conflicts and can mislead the phylogenetic analyses even in combined analyses. However, different strategies are efficiently minimizing these problems. Though the exploration of different methods to detect incongruence is preferable NDI and PABA are more conservative than the others and NDI is computational less extensive than PABA.
| S-EPMC2234405 | biostudies-literature
Project description:This article asks to what extent and under which conditions interest groups are congruent with public opinion. We argue that interest groups can be caught in a balancing act between engaging with their constituency on the one hand and aligning their position with the broader public on the other hand. We contribute to previous studies by arguing that the effect of interest group type on congruence is moderated by the degree to which constituencies are involved in advocacy processes and the salience of policy issues. We test these expectations by analyzing 314 media claims made by Belgian interest groups regarding 58 policy issues. The results demonstrate that citizen groups with formal members are more prone to share the position of the broader public compared to concentrated interest groups such as business associations, especially if they involve their members in advocacy activities and when issues are salient in the media.
| S-EPMC7891402 | biostudies-literature
Project description:Learning about objects often requires making arbitrary associations among multisensory properties, such as the taste and appearance of a food or the face and voice of a person. However, the multisensory properties of individual objects usually are statistically constrained, such that some properties are more likely to co-occur than others, on the basis of their category. For example, male faces are more likely to co-occur with characteristically male voices than with female voices. Here, we report evidence that these natural multisensory statistics play a critical role in the learning of novel, arbitrary associative pairs. In Experiment 1, we found that learning of pairs consisting of human voices and gender-congruent faces was superior to learning of pairs consisting of human voices and gender-incongruent faces or of pairs consisting of human voices and pictures of inanimate objects (plants and rocks). In Experiment 2, we found that this "categorical congruency" advantage extended to nonhuman stimuli, as well-namely, to pairs of class-congruent animal pictures and vocalizations (e.g., dogs and barks) versus class-incongruent pairs (e.g., dogs and bird chirps). These findings suggest that associating multisensory properties that are statistically consistent with the various objects that we encounter in our daily lives is a privileged form of learning.
| S-EPMC6469507 | biostudies-literature
Project description:There is evidence for interaction between the developing circulatory and nervous systems. Blood vessels provide a supporting niche in regions of adult neurogenesis. Here we present a systematic analysis of vascular development in the embryonic murine cortex and demonstrate that dividing cells, including Tbr2-positive intermediate progenitor cells, are closer to the vasculature than expected from a random distribution. To examine whether neurites of the newly generated embryonic neurons find blood vessels as an attractive and permissive substrate, we overlayed green fluorescent protein (GFP)-labeled dissociated cortical progenitors on embryonic organotypic cortical slice cultures with labeled vasculature. Our observations of neurites extending toward and along labeled blood vessels support the notion of vascular-neuronal interactions. The altered cortical layering had no obvious effect on the vascular patterns within the cortical plate (CP) in shaking rat Kawasaki (SRK) and the reeler mutant mouse at the ages studied (E19 and P3). It appears that similarly to other neurogenic regions in the adult, the embryonic "vascular niche" might influence neural progenitor cells during telencephalic neurogenesis, neuronal migration, and neurite extension, but the laminar phenotype of cell classes within the CP has limited influence on the developing vasculature.
| S-EPMC2693536 | biostudies-literature
Project description:Congruence theory has many applications in physical, social, biological and technological systems. Congruence arithmetic has been a fundamental tool for data security and computer algebra. However, much less attention was devoted to the topological features of congruence relations among natural numbers. Here, we explore the congruence relations in the setting of a multiplex network and unveil some unique and outstanding properties of the multiplex congruence network. Analytical results show that every layer therein is a sparse and heterogeneous subnetwork with a scale-free topology. Counterintuitively, every layer has an extremely strong controllability in spite of its scale-free structure that is usually difficult to control. Another amazing feature is that the controllability is robust against targeted attacks to critical nodes but vulnerable to random failures, which also differs from ordinary scale-free networks. The multi-chain structure with a small number of chain roots arising from each layer accounts for the strong controllability and the abnormal feature. The multiplex congruence network offers a graphical solution to the simultaneous congruences problem, which may have implication in cryptography based on simultaneous congruences. Our work also gains insight into the design of networks integrating advantages of both heterogeneous and homogeneous networks without inheriting their limitations.
| S-EPMC4814780 | biostudies-other
Project description:Impaired analysis of signal conflict and congruence may contribute to diverse socio-emotional symptoms in frontotemporal dementias, however the underlying mechanisms have not been defined. Here we addressed this issue in patients with behavioural variant frontotemporal dementia (bvFTD; n = 19) and semantic dementia (SD; n = 10) relative to healthy older individuals (n = 20). We created auditory scenes in which semantic and emotional congruity of constituent sounds were independently probed; associated tasks controlled for auditory perceptual similarity, scene parsing and semantic competence. Neuroanatomical correlates of auditory congruity processing were assessed using voxel-based morphometry. Relative to healthy controls, both the bvFTD and SD groups had impaired semantic and emotional congruity processing (after taking auditory control task performance into account) and reduced affective integration of sounds into scenes. Grey matter correlates of auditory semantic congruity processing were identified in distributed regions encompassing prefrontal, parieto-temporal and insular areas and correlates of auditory emotional congruity in partly overlapping temporal, insular and striatal regions. Our findings suggest that decoding of auditory signal relatedness may probe a generic cognitive mechanism and neural architecture underpinning frontotemporal dementia syndromes.
| S-EPMC5637159 | biostudies-literature