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Journal of Algebra and Its Applications, 2016
A ring [Formula: see text] is strongly 2-nil-clean if every element in [Formula: see text] is the sum of two idempotents and a nilpotent that commute. Fundamental properties of such rings are obtained. We prove that a ring [Formula: see text] is strongly 2-nil-clean if and only if for all [Formula: see text], [Formula: see text] is nilpotent, if and ...
Chen, Huanyin, Sheibani, Marjan
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A ring [Formula: see text] is strongly 2-nil-clean if every element in [Formula: see text] is the sum of two idempotents and a nilpotent that commute. Fundamental properties of such rings are obtained. We prove that a ring [Formula: see text] is strongly 2-nil-clean if and only if for all [Formula: see text], [Formula: see text] is nilpotent, if and ...
Chen, Huanyin, Sheibani, Marjan
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A New Study of Strongly Clean Elements in Rings
Journal of Algebra and its ApplicationsThe principal goal of this paper is to make some new contributions to the very active study of strongly clean elements in rings. Starting with a general Equivalence Theorem in ยง2 characterizing strongly clean elements in an arbitrary ring, the paper goes
Zhiling Ying, T. Lam
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Strongly weak idempotent nil-clean rings
Summary: We introduce the concept of strongly weak idempotent nil-clean rings which is a generalization of strongly weakly nil clean rings. We characterize strongly weak idempotent nil-clean rings in terms of the set of nilpotent elements, homomorphic images, and Jacobson radicals. We prove that a ring \(R\) is strongly weak idempotent nil-clean if andVenkateswarlu, Kolluru +2 more
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Strongly UR-Clean ring: Properties and relation to strongly clean ring
AIP Conference Proceedings, 2022I Made Sulandra, null Wiskandar
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Strongly clean triangular matrices over abelian rings
Journal of Pure and Applied Algebra, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Diesl, Alexander J. +4 more
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Rings Whose Non-Invertible Elements Are Strongly Nil-Clean
Lobachevskii Journal of MathematicsWe consider in-depth and characterize in certain aspects those rings whose non-units are strongly nil-clean in the sense that they are a sum of a commuting nilpotent and an idempotent.
P. Danchev +3 more
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A note on completeness and strongly clean rings
, 2014A. Diesl +3 more
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The strongly Tri-nil clean rings
Al-Rafidain Journal of Computer Sciences and MathematicsRana Mahammed Shafik, N. Shuker
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