Results 91 to 100 of about 8,103 (256)
Some countability conditions on commutative ring extensions [PDF]
, 1981 If S S is a finitely generated unitary extension ring of the commutative ring R R , then S S cannot be expressed as the union of a strictly ascending sequence {
William Heinzer, Robert Gilmer
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In The Graph Based on a Given Ideal of a Ring
Zanco Journal of Pure and Applied Sciences, 2019 In this paper we introduce a new kind of graph associated with a commutative ring with identity, and we discover some of its characterizations and properties. Let R be a commutative ring with identity and K be a non-trivial ideal of R.
friad husen abdulqadr
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AKCE International Journal of Graphs and Combinatorics, 2020 An edge labeled graph is a graph whose edges are labeled with non-zero ideals of a commutative ring . A Generalized Spline on an edge labeled graph is a vertex labeling of by elements of the ring , such that the difference between any two adjacent vertex
Radha Madhavi Duggaraju, Lipika Mazumdar
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Journal of the Korean Mathematical Society, 2016 The authors define a ring \(R\) (associative with identity) to be \textit{quasi-commutative} if \(ab\) is in the center of \(R\) for all \(a\in C_{f(x)}\) and \(b\in C_{g(x)}\) whenever \(f(x)\) and \(g(x)\) are in the center of the polynomial ring \(R[x]\). Here \(C_{h(x)}\) denotes the set of all coefficients of the polynomial \(h(x)\).
Jung, Da Woon +7 more
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
On matrix Lie rings over a commutative ring that contain the special linear Lie ring [PDF]
, 2016 summary:Let $K$ be an associative and commutative ring with $1$, $k$ a subring of $K$ such that $1\in k$, $n\geq 2$ an integer. The paper describes subrings of the general linear Lie ring $gl_{n} ( K )$ that contain the Lie ring of all traceless matrices
Pekönür, Esra, Bashkirov, Evgenii L.
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On commutative endomorphism rings [PDF]
Pacific Journal of Mathematics, 1970 This note deals with a finitely generated faithful module E over a commutative semi-prime noetherian ring R, with commutative endomorphism ring HomJ2(Er, E) = Ω(E). It is shown that E is identifiable to an ideal of R whenever Ω(E) lacks nilpotent elements; a class of examples with Ω(E) commutative but not semi-prime is discussed.
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On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
Jordan ?-Centralizers of Prime and Semiprime Rings
مجلة بغداد للعلوم, 2010 The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R.
Baghdad Science Journal
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On Commutativity Theorems for Rings [PDF]
Southeast Asian Bulletin of Mathematics, 2002 The author presents three commutativity theorems for rings. There are no rings satisfying the hypotheses of the first, and the second is trivial. The third, which asserts that a ring with 1 is commutative if it satisfies the identity \((x+y)^2=x^2+y^2\) and another extraneous hypothesis, is not new. In fact, \textit{C.-T.
openaire +2 more sources