Results 21 to 30 of about 90,989 (277)
Brown-McCoy Radical in Restricted Graded Version
Some conjectures related to the radical theory of rings are still open. Hence, the research on the radical theory of rings is still being investigated by some prominent authors.
Puguh Wahyu Prasetyo
doaj +1 more source
On the structure of Stanley-Reisner rings associated to cyclic polytopes [PDF]
We study the structure of Stanley-Reisner rings associated to cyclic polytopes, using ideas from unprojection theory. Consider the boundary simplicial complex Delta(d,m) of the d-dimensional cyclic polytope with m vertices.
Boehm, Janko +1 more
core +4 more sources
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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In this article, we introduce the concepts of graded $ s $-prime submodules which is a generalization of graded prime submodules. We study the behavior of this notion with respect to graded homomorphisms, localization of graded modules, direct product ...
Hicham Saber +2 more
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We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings.
Caenepeel, S., Janssen, K., Wang, S. H.
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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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Leavitt path algebras: Graded direct-finiteness and graded $\Sigma$-injective simple modules
In this paper, we give a complete characterization of Leavitt path algebras which are graded $\Sigma $-$V$ rings, that is, rings over which a direct sum of arbitrary copies of any graded simple module is graded injective.
Hazrat, Roozbeh +2 more
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Non-Gorenstein isolated singularities of graded countable Cohen-Macaulay type
In this paper we show a partial answer the a question of C. Huneke and G. Leuschke (2003): Let R be a standard graded Cohen-Macaulay ring of graded countable Cohen-Macaulay representation type, and assume that R has an isolated singularity.
C. Huneke +7 more
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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
openaire +4 more sources
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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