Results 21 to 30 of about 469,261 (297)
Mathematics, 2021 The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
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On the union of graded prime ideals
Open Physics, 2016 In this paper we investigate graded compactly packed rings, which is defined as; if any graded ideal I of R is contained in the union of a family of graded prime ideals of R, then I is actually contained in one of the graded prime ideals of the family ...
Uregen Rabia Nagehan +2 more
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Localization in a Graded Ring [PDF]
Proceedings of the American Mathematical Society, 1961 No abstract.
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Computing nilpotent quotients in finitely presented Lie rings [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 A nilpotent quotient algorithm for finitely presented Lie rings over Z (and Q) is described. The paper studies the graded and non-graded cases separately.
Csaba Schneider
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On Gelfand graded commutative rings [PDF]
, 2022 This paper deals with the graded commutative rings in which every homogeneous prime ideal is contained in a unique homogeneous maximal ideal called Gelfand graded ring. The purpose is to establish some topological and algebraic characterizations of these
Aqalmoun, Mohamed
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The free A‐ring is a graded A‐ring [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 Let \(K\) be a commutative ring and \(A\) a \(K\)-algebra. The author defines the tensor \(A\)-ring on a set \(X: A_ K\langle X\rangle\) which he calls the free \(A\)-ring, proves the expected universal property and shows that it is graded as an \(A\)-ring.
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Some interactions between Hopf Galois extensions and noncommutative rings
Universitas Scientiarum, 2022 In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and families of noncommutative rings (e.g., skew polynomial rings, PBW ...
Armando Reyes, Fabio Calderón
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International Electronic Journal of Algebra, 2020 Summary: In this paper, graded rings are \(S\)-graded rings inducing \(S\),that is, rings whose additive groups can be written as a direct sum of a family of their additive subgroups indexed by a nonempty set \(S\), and such that the product of two homogeneous elements is again a homogeneous element.
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Journal of Algebra, 1995 Let \({\mathcal K}\) be a class of rings which is closed under homomorphic images, ring extensions, one-sided ideals and contains all rings with zero multiplication. Rings \(R=\bigoplus_{s\in S} R_s\) graded by finite groupoids \(S\) are considered. It is shown that the condition: for all finite groupoids \(S\) and all \(S\)-graded rings \(R\), \(R ...
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F-THRESHOLDS OF GRADED RINGS [PDF]
Nagoya Mathematical Journal, 2016 The$a$-invariant, the$F$-pure threshold, and the diagonal$F$-threshold are three important invariants of a graded$K$-algebra. Hirose, Watanabe, and Yoshida have conjectured relations among these invariants for strongly$F$-regular rings. In this article, we prove that these relations hold only assuming that the algebra is$F$-pure.
De Stefani A, Nunez-Betancourt L
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