Results 1 to 10 of about 1,179,667 (236)

Uniformly Primal Submodule over Noncommutative Ring [PDF]

Journal of Mathematics, 2020
Let R be an associative ring with identity and M be a unitary right R-module. A submodule N of M is called a uniformly primal submodule provided that the subset B of R is uniformly not right prime to N, if there exists an element s∈M−N with sRB⊆N.The set
Lamis J. M. Abulebda
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A note on noncommutative even square rings

Examples and Counterexamples, 2021
In this note we find the least order of a noncommutative even square ring and we note that it is a nil ring having characteristic four. In order to prove the main result given in this note we mainly use suitable examples.
S.K. Pandey
doaj   +5 more sources

A Note on Weakly Semiprime Ideals and Their Relationship to Prime Radical in Noncommutative Rings [PDF]

Journal of Mathematics
In this paper, we introduce the concept of weakly semiprime ideals and weakly n-systems in noncommutative rings. We establish the equivalence between an ideal P being a weakly semiprime ideal and R−P being a weakly n-system.
Alaa Abouhalaka
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NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORS [PDF]

Discrete Mathematics & Theoretical Computer Science, 2007
The construction of the universal ring of Witt vectors is related to Lazard's factorizations of free monoids by means of a noncommutative analogue. This is done by associating to a code a specialization of noncommutative symmetric functions.
Jean-Gabriel Luque, Jean-Yves Thibon
doaj   +12 more sources

$0$-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
We define an action of the $0$-Hecke algebra of type A on the Stanley-Reisner ring of the Boolean algebra. By studying this action we obtain a family of multivariate noncommutative symmetric functions, which specialize to the noncommutative Hall ...
Jia Huang
doaj   +4 more sources

Local Normal Forms of Noncommutative Functions [PDF]

Forum of Mathematics, Pi, 2021
This article describes local normal forms of functions in noncommuting variables, up to equivalence generated by isomorphism of noncommutative Jacobi algebras, extending singularity theory in the style of Arnold’s commutative local normal forms into the ...
Gavin Brown, Michael Wemyss
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The Lattice of Submodules of a Module Over a Noncommutative Ring [PDF]

, 1956
Introduction and summary. Of fundamental importance to the theory of ideals in commutative rings satisfying the ascending chain condition for ideals has been the works of Noether [6] and Krull [4].
E. H. Feller
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Almost prime ideals in noncommutative rings [PDF]

Serdica Mathematical Journal, 2022
A proper ideal \(P\) of a commutative ring with identity is an almost prime ideal if \(ab \in P{\setminus}P^2\) implies \(a \in P\) or \(b \in P\).
Alaa Abouhalaka, Şehmus Fındık
openalex   +3 more sources

Reversible Rings with Involutions and Some Minimalities [PDF]

The Scientific World Journal, 2013
In continuation of the recent developments on extended reversibilities on rings, we initiate here a study on reversible rings with involutions, or, in short, *-reversible rings. These rings are symmetric, reversible, reflexive, and semicommutative.
W. M. Fakieh, S. K. Nauman
doaj   +2 more sources

VIC-modules over noncommutative rings

, 2020
For a finite ring $R$, not necessarily commutative, we prove that the category of $\text{VIC}(R)$-modules over a left Noetherian ring $\mathbf{k}$ is locally Noetherian, generalizing a theorem of the authors that dealt with commutative $R$.
Putman, Andrew, Sam, Steven V
core   +3 more sources