Results 21 to 30 of about 206 (186)
Nantong Daxue xuebao. Ziran kexue ban, 2022 A *-ring R is called a medium *-clean ring if every element in R is the sum or difference of a nilpotent with a projection that commute. Fundamenta properties of such *-rings are obtained.
ZHANG Xixi; WU Jun
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Generalisations of nilpotency of rings [PDF]
Proceedings of the Edinburgh Mathematical Society, 1973 In (5) and (6) we studied certain subgroups of infinite dimensional linear groups over rings. In particular we investigated how the structure of the subgroups was related to the structure of the rings over which the linear groups were defined. It became clear that it might prove useful to study generalised nilpotent properties of rings analogous to ...
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Two-sided essential nilpotence
International Journal of Mathematics and Mathematical Sciences, 1992 An ideal I of a ring A is essentially nilpotent if I contains a nilpotent ideal N of A such that J⋂N≠0 whenever J is a nonzero ideal of A contained in I. We show that each ring A has a unique largest essentially nilpotent ideal EN(A).
Esfandiar Eslami, Patrick Stewart
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Journal of Pure and Applied Algebra, 1985 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Levin, Frank, Sehgal, Sudarshan
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Reflexivity of rings via nilpotent elements [PDF]
Revista de la Unión Matemática Argentina, 2020 An ideal $I$ of a ring $R$ is called left N-reflexive if for any $a\in$ nil$(R)$, $b\in R$, being $aRb \subseteq I$ implies $bRa \subseteq I$ where nil$(R)$ is the set of all nilpotent elements of $R$. The ring $R$ is called left N-reflexive if the zero ideal is left N-reflexive.
Harmancı, A. +3 more
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Nilpotent Elements in Skew Polynomial Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
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On homogeneous nilpotent groups and rings [PDF]
Proceedings of the American Mathematical Society, 1993 We give a new framework for the construction of homogeneous nilpotent groups and rings which goes a long way toward unifying the two cases, and enables us to extend previous constructions, producing a variety of new examples. In particular we find ingredients for the manufacture of 2 ℵ 0
Cherlin, Gregory +2 more
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Free products of cyclic groups in groups of infinite unitriangular matrices
Математичні Студії, 2023 Groups of infinite unitriangular matrices over associative unitary rings are considered. These groups naturally act on infinite dimensional free modules over underlying rings. They are profinite in case underlying rings are finite.
A. Oliynyk
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Strongly Invo. T- Clean Rings [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsIn this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute.
Rand Alneamy, Nazar Shuker
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On The Two-Fold Fuzzy n-Refined Neutrosophic Rings For 2≤n≤3 [PDF]
Neutrosophic Sets and SystemsThe objective of this paper is to study the two-fold fuzzy algebra based on n-refined neutrosophic rings for some different special values of n, where we study some of the special elements in the case of two-fold 2-refined neutrosophic ring and 3-refined
Abdallah Shihadeh +4 more
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