Results 1 to 10 of about 1,200,355 (273)
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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S-J-Ideals: A Study in Commutative and Noncommutative Rings [PDF]
Journal of MathematicsIn this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their ...
Alaa Abouhalaka +2 more
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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
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$0$-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
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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
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Extension of Almost Primary Ideals to Noncommutative Rings and the Generalization of Nilary Ideals [PDF]
Mathematics, 2023 In this paper, we introduce the concepts of almost right primary ideals and almost nilary ideals and study their related results. We compare almost right primary ideals with other types of ideals, such as right primary ideals and weakly right primary ...
Alaa Abouhalaka, Şehmus Fındık
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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
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Prime Graphs of Polynomials and Power Series Over Noncommutative Rings [PDF]
International Journal of Mathematics and Mathematical SciencesThe prime graph PGR of a ring R is a graph whose vertex set consists of all elements of R. Two elements x,y∈R are adjacent in the graph if and only if xRy=0 or yRx=0.
Walaa Obaidallah Alqarafi +2 more
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The graded ring of quantum theta functions for noncommutative torus with real multiplication [PDF]
, 2006 For the quantum torus generated by unitaries UV = e(θ)V U there exist nontrivial strong Morita autoequivalences in the case when θ is a real quadratic irrationality. A.Polishchuk introduced and studied the graded ring of holomorphic sections of powers of
Masha Vlasenko
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On Ring Extensions for Completely Primary Noncommutative Rings [PDF]
Transactions of the American Mathematical Society, 1962 0. Introduction. It is the authors' purpose in this paper to initiate the study of ring extensions for completely N primary noncommutative rings which satisfy the ascending chain condition for right ideals (A.C.C.). We begin here by showing that every completely N primary ring R with A.C.C. is properly contained in just such a ring.
Feller, E. H., Swokowski, E. W.
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