Results 11 to 20 of about 206 (186)
Iterated differential polynomial rings over locally nilpotent rings [PDF]
Communications in Algebra, 2020 We study iterated differential polynomial rings over a locally nilpotent ring and show that a large class of such rings are Behrens radical. This extends results of Chebotar and Chen et al.
Jin, Steven, Shin, Jooyoung
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Nilpotent decomposition in integral group rings [PDF]
Journal of Algebra, 2021 Postprint version. In the second paragraph of Section 6, the statement "U(G)/pU(G) is a torsion group" is corrected by "U(G)/pU(G) is generated by torsion images of unipotents." Some minor typos are ...
Eric Jespers, Wei-Liang Sun
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F-NILPOTENT RINGS AND PERMANENCE PROPERTIES
Journal of Commutative Algebra, 2023 We explore the singularity classes $F$-nilpotent, weakly $F$-nilpotent, and generalized weakly $F$-nilpotent under faithfully flat local ring maps. As an application, we show that the loci of primes in a Noetherian ring of prime characteristic which define either weakly $F$-nilpotent or $F$-nilpotent local rings are open with respect to the Zariski ...
Kenkel, Jennifer +3 more
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Solvable assosymmetric rings are nilpotent [PDF]
Proceedings of the American Mathematical Society, 1977 Assosymmetric rings are ones which satisfy the law ( x , y , z ) = ( P ( x ) , P ( y ) , P ( z ) ) (x,y,z) = (P(x),P(y),P(z)) for each permutation P of x, y, z. Let A be an assosymmetric
Pokrass, David, Rodabaugh, David
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Nilpotency in endomorphism rings [PDF]
Proceedings of the American Mathematical Society, 1974 Nil subrings of the endomorphism ring of a module with finite Krull dimension sequence are nilpotent. This includes the case of a module with finite Krull dimension as well as noetherian modules. The method used is to embed the endomorphism ring, modulo a nilpotent ideal, in the endomorphism ring of an artinian object of a Grothendieck category.
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 In this paper we study idempotent elements, we give some new properties of idempotent elements and provide some exam we also study central idempotent elements and orthogonal idempotent elements and give some new properties of such idempotent ...
Nazar Shuker, Alaa Hammodat
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Journal of Algebra and Its Applications, 2019 For [Formula: see text] and for a ring [Formula: see text], the notation [Formula: see text] means that [Formula: see text] is nilpotent for all [Formula: see text], and [Formula: see text] means that [Formula: see text] has identity [Formula: see text] and [Formula: see text] is nil, where [Formula: see text] is the Jacobson radical of [Formula: see ...
Kosan, M. Tamer +2 more
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On some commutative invariants of modules over minimax nilpotent groups
Доповiдi Нацiональної академiї наук України, 2022 In the paper we introduce a finite system of invariants for modules over minimax nilpotent groups which consists of classes of equivalent prime ideals of the group algebra of an Abelian minimax group. In particuly, introduced system of invariants allows
A.V. Tushev
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Almost nilpotent gamma rings [PDF]
Bulletin of the Australian Mathematical Society, 1990 In this paper we introduce the concept of almost nilpotence for Γ-rings, similar to the corresponding concept for rings, as defined by Van Leeuwen and Heyman. An almost mlpotent radical property Α0 is introduced for Γ-rings, and shown to be supernilpotent.
Booth, G. L., Groenewald, N. J.
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On the primitive irreducible representations of finitely generated nilpotent groups
Доповiдi Нацiональної академiї наук України, 2021 We develop some tecniques whish allow us to apply the methods of commutative algebra for studing the representations of nilpotent groups. Using these methods, in particular, we show that any irreducible representation of a finitely generated nilpotent ...
A.V. Tushev
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