Results 41 to 50 of about 3,257,982 (300)
A Note on Urysohn’s Lemma under mIαg-Normal Spaces and mIαg-Regular Spaces in Ideal Minimal Space
Journal of New Theory, 2021 This research article is concerned with the introduction of a new notion of normal spaces and regular spaces, namely mIαg-normal spaces and mIαg-regular spaces. We established their significant properties in ideal minimal spaces.
Parimala Mani, Arivuoli Dhandapanı
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The Structure of Primitive Leibniz Algebras via Maximal Subalgebras
MathematicsIn this paper, we investigate the structure of primitive Leibniz algebras via their maximal subalgebras and minimal ideals. Using a two-sided definition of the centraliser, we show that the centraliser of a minimal ideal is again an ideal. Unlike the Lie
Zekiye Çiloğlu Şahin
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Minimal generating sets of lattice ideals [PDF]
Collectanea Mathematica, 2017 v4: the title is changed, a few proofs simplified and one example added (Example 4.9); to appear in Collectanea ...
Charalambous, Hara +2 more
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Prime Ideals of Transitive BE-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2022 The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras.
Prabhakar M. Bala +2 more
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Monomial ideals of minimal depth
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let S be a polynomial algebra over a field. We study classes of monomial ideals (as for example lexsegment ideals) of S having minimal depth. In particular, Stanley's conjecture holds for these ideals.
Ishaq Muhammad
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
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New topologies derived from the old one via operators
Demonstratio MathematicaThe main purpose of this work is to study the ideal topology defined by the minimal and maximal ideals on a topological space. Also, we define and investigate the concepts of ideal quotient and annihilator of any subfamily of 2X{2}^{X}, where 2X{2}^{X ...
Issaka Faical Yacine, Özkoç Murad
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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Minimal Homogeneous Bases for Polynomial Ideals
Applicable Algebra in Engineering, Communication and Computing, 2004 The authors consider the problem to find a minimal generating set of the homogenization \(I^h\) of an ideal \(I\) generated by \(\{f_1,\dots,f_t\}\), \(k\) a field. The results are standard and well known for a long time. Moreover most of them can be proved much faster taking into account that \(R\) is a H-local ring.
Erol Yilmaz, Sibel Kiliçarslan
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
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