Results 31 to 40 of about 1,309,327 (169)
Proceedings of the American Mathematical Society, 1973 The main results proved in this paper are that if R R is a semiprime ring satisfying a polynomial identity then (1) the maximal right quotient ring of R R is also P.I. and (2) every essential one-sided ideal of R R contains an essential two-sided ideal of R R .
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Characterizing Jordan Derivable Maps on Triangular Rings by Local Actions
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Suppose that T=TriA,ℳ,ℬ is a 2‐torsion free triangular ring, and S=A,B|AB=0,A,B∈T∪A,X|A∈T, X∈P,Q, where P is the standard idempotent of T and Q = I − P. Let δ:T⟶T be a mapping (not necessarily additive) satisfying, A,B∈S⇒δA∘B=A∘δB+δA∘B, where A∘B = AB + BA is the Jordan product of T.
Hoger Ghahramani +3 more
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A new notion of semiprime submodules [PDF]
Journal of Algebra and its ApplicationsWe introduce a new concept of a semiprime submodule. We show that a submodule of a finitely generated module over a commutative ring is semiprime if and only if it is radical, that is, an intersection of prime submodules.
Masood Aryapoor
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Structure of Semiprime P.I. Rings [PDF]
Proceedings of the American Mathematical Society, 1973 In this paper we make an investigation into the structure of semiprime polynomial identity rings which is culminated by showing that each such ring R R has a unique maximal left quotient ring Q Q such that (1) Q Q is von Neumann regular with unity and (2) every regular element in R R
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, 2021 Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we introduce and study the concept of small semiprime submodules as a generalization of semiprime submodules.
Haider A. Ramadhan, N. S. A. Mothafar
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Prime and semiprime submodules of Rn and a related Nullstellensatz for Mn(R)
Journal of Algebra and its Applications, 2021 Let [Formula: see text] be a commutative ring with [Formula: see text] and [Formula: see text] a natural number. We say that a submodule [Formula: see text] of [Formula: see text] is semiprime if for every [Formula: see text] such that [Formula: see text]
J. Cimprič
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A result related to derivations on unital semiprime rings
Glasnik Matematicki - Serija III, 2021 The purpose of this paper is to prove the following result. Let n≥3 be some fixed integer and let R be a (n+1)!2n-2-torsion free semiprime unital ring. Suppose there exists an additive mapping D: R→ R satisfying the relation for all x ∈ R. In this case D
I. Kosi-Ulbl +3 more
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Journal of Applied Mathematics and Computational Mechanics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Classical quotient rings of generalized matrix rings
International Journal of Mathematics and Mathematical Sciences, 1995 An associative ring R with identity is a generalized matrix ring with idempotent set E if E is a finite set of orthogonal idempotents of R whose sum is 1.
David G. Poole, Patrick N. Stewart
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A note on Jordan left *-centralizers on prime and semiprime rings with involution
Journal of Taibah University for Science, 2017 The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad +2 more
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