Results 131 to 140 of about 375 (165)
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Nilpotent elements and McCoy rings
Studia Scientiarum Mathematicarum Hungarica, 2012We introduce the concept of nil-McCoy rings to study the structure of the set of nilpotent elements in McCoy rings. This notion extends the concepts of McCoy rings and nil-Armendariz rings. It is proved that every semicommutative ring is nil-McCoy. We shall give an example to show that nil-McCoy rings need not be semicommutative. Moreover, we show that
Liang Zhao, Xiaosheng Zhu, Qinqin Gu
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Nilpotent elements in medial semigroups
Mathematica Slovaca, 2019AbstractWe show without the Kuratowski-Zorn lemma that the set of all nilpotent elements of a medial semigroup (with zero) is the set-theoretic intersection of all its prime ideals. Moreover, some applications of the above theorem are given.
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Nilpotent Elements in Hochschild Cohomology
2018We study the algebra \(A=K\langle x, y\rangle /(x^2, y^2, (xy)^k+q(yx)^k)\) over the field K where \(k\ge 1\) and where \(0\ne q \in K\). We determine a minimal projective bimodule resolution of A. In the case when q is not a root of unity, we compute its Hochschild cohomology.
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Identification of non-coding silencer elements and their regulation of gene expression
Nature Reviews Molecular Cell Biology, 2022Baoxu Pang +2 more
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Transposable elements in mammalian chromatin organization
Nature Reviews Genetics, 2023Ting Wang
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Transposable elements shape the evolution of mammalian development
Nature Reviews Genetics, 2021Anna Dorothea Senft, Todd S Macfarlan
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