Results 91 to 100 of about 128 (117)

ON NIL-SYMMETRIC RINGS AND MODULES SKEWED BY RING ENDOMORPHISM

Science Journal of University of Zakho
The symmetric property plays an important role in non-commutative ring theory and module theory.  In this paper, we study the symmetric property with one element of the ring  and two nilpotent elements of  skewed by ring endomorphism  on rings ...
Ibrahim Mustafa, Chnar Abdulkareem Ahmed
doaj   +1 more source

Nilpotent Elements of Vertex Algebras

, 2011
Using the method of commutative algebra, we show that the set $\mathfrak{R}$ of nilpotent elements of a vertex algebra $V$ forms an ideal, and $V/\mathfrak{R}$ has no nonzero nilpotent elements.
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Generalized Core-nilpotent Decomposition of Ring Elements

Indian Journal of Pure and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Varkady, Savitha, Kelathaya, Umashankara, Karantha, Manjunatha Prasad   +2 more
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Nilpotent elements of commutative semigroup rings.

Michigan Mathematical Journal, 1975
Parker, Tom, Gilmer, Robert
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Nilpotent elements and solvable actions

Collectanea Mathematica, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nilpotent elements and reduced rings

Turkish Journal of Mathematics, 2011
LIBIN LI, JUNCHAO WEI
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Nilpotent Elements in Semi-simple Jordan Algebras

Mathematische Annalen, 1958
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Nilpotent elements in representation rings

Journal of Algebra, 1971
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Nilpotent Elements in Rings of Integral Representations [PDF]

Proceedings of the American Mathematical Society, 1966
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When nilpotent elements generate nilpotent ideals

Journal of Algebra and Its Applications, 2023
We study the natural class of rings where each nilpotent element generates a nilpotent ideal, calling them the strongly 2-primal rings. We derive many basic properties of these rings, analyze their behavior under standard ring constructions and extensions, and taxonomize their relationship to other natural generalizations of commutativity.
Nielsen, Pace P., Szabo, Steve
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