Results 221 to 230 of about 187,447 (246)

NPP RINGS, REDUCED RINGS AND SNF RINGS

2008
A ring R is called left NP P if for any nilpotent element a of R, l(a) = Re, e2 = e ∈ R. A right R−module M is called N f lat if for each a ∈ N(R), the Z−module map 1M ⊗ i : M ⊗R Ra −→ M ⊗R R is monic, where i : Ra ,→ R is the inclusion map. A ring R is called right SNF if every simple right R−module is N f lat. In this paper, we first show that a ring
WEİ, Junchao, CHEN, Jianhua
openaire   +1 more source

Rings decomposed into direct sums of nil rings and certain reduced rings

Mathematical Journal of Okayama University, 1985
Let R be a ring, E the set of idempotents of R, and N the set of nilpotents. For \(x\in R\), denote by r(x) the right annihilator of x; call x a right p.p. element if there exists \(e\in E\) such that \(xe=x\) and \(r(x)=r(e)\). Let P be the set of all right p.p. elements, and call R a generalized right p.p.
Hirano, Yasuyuki, Tominaga, Hisao
openaire   +3 more sources

Modules with reduced endomorphism rings

Journal of Algebra and Its Applications
In this paper, we study endo-reduced modules as modules whose endomorphism rings have no nonzero nilpotent elements. We characterize their properties for different classes of modules, including [Formula: see text]-non-singular modules, multiplication modules and finitely generated modules over commutative Dedekind domains.
Philly Ivan Kimuli, David Ssevviiri
openaire   +1 more source

ON REDUCED MODULES AND RINGS

2008
In this paper we extend several results known for reduced rings to reduced modules. We prove that for a semiprime module or a module with zero Jacobson radical, the concepts of reduced, symmetric, ps-Armendariz and ZI modules coincide. New examples of reduced modules are furnished: flat modules over reduced rings and modules with zero Jacobson radical ...
REGE, Mangesh B., BUHPHANG, A. M.
openaire   +1 more source

Reduced morphisms and Nagata rings

Archiv der Mathematik, 1993
The paper is mainly devoted to a generalization of a criterion for Nagata rings given previously by \textit{K. Langmann} [Arch. Math. 55, No. 2, 139- 142 (1990; Zbl 0675.13007)]. The present generalization includes, among others, the case of arbitrary characteristic which was not covered by the paper cited above.
openaire   +1 more source

Restricted Minimum Condition in Reduced Commutative Rings

Mediterranean Journal of Mathematics, 2022
Dominik Krasula
exaly  

Reduced f-rings

1999
Niels Schwartz, James J. Madden
openaire   +1 more source

Reduced Gröbner bases and Macaulay–Buchberger Basis Theorem over Noetherian rings

Journal of Symbolic Computation, 2014
Maria Francis, Ambedkar Dukkipati
exaly  

Some minimal rings related to 2-primal rings

Communications in Algebra, 2019
Steve SZABÓ
exaly  

A NOTE ON SKEW ARMENDARIZ RINGS

Communications in Algebra, 2005
Wenting Tong
exaly