Results 1 to 10 of about 680,358 (175)
On the Monoid of Unital Endomorphisms of a Boolean Ring [PDF]
Axioms, 2021 Let X be a nonempty set and P(X) the power set of X. The aim of this paper is to provide an explicit description of the monoid End1P(X)(P(X)) of unital ring endomorphisms of the Boolean ring P(X) and the automorphism group Aut(P(X)) when X is finite ...
Bana Al Subaiei, Noômen Jarboui
doaj +5 more sources
Journal of Algebra, 2004 Given an action of a monoid $T$ on a ring $A$ by ring endomorphisms, and an Ore subset $S$ of $T$, a general construction of a fractional skew monoid ring $S^{\rm op} * A * T$ is given, extending the usual constructions of skew group rings and of skew semigroup rings.
Enrique Pardo +2 more
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The global dimension of a trace monoid ring [PDF]
Semigroup Forum, 2010 Given a set \(E\) and an irreflexive, symmetric binary relation \(I\subset E\times E\) on \(E\) (\(\forall e\in E\,\, (e,e)\notin I\) and \((a,b)\in I\Rightarrow (b,a)\in I\)), the monoid generated by \(E\) and relations \(ab=ba, (a,b)\in I\) is called the free partially commutative monoid or trace monoid and is denoted by \(M(E,I)\).
Ahmet Husainov
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PRIME RADICALS IN UP-MONOID RINGS [PDF]
Bulletin of the Korean Mathematical Society, 2012 A monoid \(G\) is a `unique product monoid' (up-monoid) if for any two nonempty finite subsets \(A\) and \(B\) of \(G\), there is at least one \(c\in G\) which has a unique representation as \(c=ab\) with \(a\in A\) and \(b\in B\). Here the authors study the relationships between nil-related properties of a ring and those of the monoid ring \(RG ...
Cheon, Jeoung Soo, Kim, Jin-A
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Endo-Noetherian Skew Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2023 Endo-Noetherian modules were introduced by A. Kaidi and E. Sanchez] as a generalization of Noetherian modules. A left Ɍ-module M which satisfies the ascending chain condition for endomorphic kernels is said to be endo-Noetherian.
Ramy Abdel-Khaleq +2 more
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MATRIKS BERSIH KUAT ATAS RING DERET PANGKAT TERGENERALISASI MIRING
Jurnal Matematika UNAND, 2021 Salah satu konsep dalam teori aljabar yang banyak digunakan adalah matriks atas lapangan (field). Dalam perkembangannya, konsep matriks atas lapangan diperumum menjadi matriks atas ring.
AHMAD FAISOL, FITRIANI FITRIANI
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Schneider-Teitelbaum duality for locally profinite groups [PDF]
Categories and General Algebraic Structures with Applications, 2021 We define monoidal structures on several categories of linear topological modules over the valuation ring of a local field, and study module theory with respect to the monoidal structures.
Tomoki Mihara
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The Ring Homomorphisms of Matrix Rings over Skew Generalized Power Series Rings
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 Let M_n (R_1 [[S_1,≤_1,ω_1]]) and M_n (R_2 [[S_2,≤_2,ω_2]]) be a matrix rings over skew generalized power series rings, where R_1,R_2 are commutative rings with an identity element, (S_1,≤_1 ),(S_2,≤_2 ) are strictly ordered monoids, ω_1:S_1→End(R_1 ),〖
Ahmad Faisol, Fitriani Fitriani
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Homomorfisa Modul Deret Pangkat Tergeneralisasi Miring
Jurnal Matematika Integratif, 2022 Diberikan sebarang ring komutatif $R$ dengan elemen satuan, monoid terurut tegas $(S,\leq)$, homomorfisma monoid $\omega:S\rightarrow End(R)$, submonoid $S_1,S_2\subseteq S$ yang masing-masing dilengkapi urutan $\leq_1, \leq_2$ yang \textit{coarser ...
Ahmad Faisol, Fitriani Fitriani
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A Rickart-Like Theorem for the Additivity of Multiplicative Maps on Rings
Journal of Mathematics, 2022 Rickart’s theorem states that every bijective multiplicative mapping of a Boolean ring R onto an arbitrary ring S is necessarily additive. We prove a version of Rickart’s theorem for non-bijective mappings.
Bana Al Subaiei, Noômen Jarboui
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