Results 31 to 40 of about 450,444 (294)
On the union of graded prime ideals
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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In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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Computing nilpotent quotients in finitely presented Lie rings [PDF]
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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Localization in a Graded Ring [PDF]
No abstract.
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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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The free A‐ring is a graded A‐ring [PDF]
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
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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In this paper, the free vibration response of a stiffened functionally graded graphene nanoplatelet (GPL)-reinforced composite multilayer cylindrical shell panel is studied for the first time.
Yuhua Zhou +6 more
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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]
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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