Results 21 to 30 of about 1,390,742 (240)
Some notes on graded weakly 1-absorbing primary ideals
Demonstratio Mathematica, 2023 A proper graded ideal PP of a commutative graded ring RR is called graded weakly 1-absorbing primary if whenever x,y,zx,y,z are nonunit homogeneous elements of RR with 0≠xyz∈P0\ne xyz\in P, then either xy∈Pxy\in P or zz is in the graded radical of PP. In
Alshehry Azzh Saad +2 more
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The Rank-One property for free Frobenius extensions
Comptes Rendus. Mathématique, 2023 A conjecture by the second author, proven by Bonnafé–Rouquier, says that the multiplicity matrix for baby Verma modules over the restricted rational Cherednik algebra has rank one over $\mathbb{Q}$ when restricted to each block of the algebra.In this ...
Bellamy, Gwyn, Thiel, Ulrich
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Generalizations Of Graded Prime Ideals Over Graded Near Rings
, 2022 This paper considers graded near-rings over a monoid G as a generalizations of the graded rings over groups, introduce certain innovative graded weakly prime ideals and graded almost prime ideals as a generalizations of graded prime ideals over graded near-rings, and explore their various properties and their generalizations in graded near-rings.
Bataineh, Malik +2 more
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Multidegrees, prime ideals, and non-standard gradings
Advances in Mathematics, 2023 to appear in Advances in ...
Caminata A., Cid-Ruiz Y., Conca A.
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International Journal of Mathematical Analysis, 2014 Let G be an arbitrary group with identity e and let R be a G-graded commutative ring. In this paper, we introduce the concept of graded quasi-prime ideal and we give a number of results concerning such ideals. In fact, our objective is to investigate graded quasi-prime ideals and examine in particular when graded ideals of R are graded quasi-prime ...
Khaldoun Al-Zoubi, Rashid Abu-Dawwas
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Graded Prime Ideals Over Graded Near Ring
, 2022 In this paper, we consider graded near-rings over a monoid $G$ as a generalizations of graded rings over groups. We introduce certain innovative graded prime ideals and study some of its basic properties over graded near-rings.
Bataineh, Malik +2 more
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The chain property for the associated primes of $\CA$-graded ideals [PDF]
Mathematical Research Letters, 2000 We investigate how the chain property for the associated primes of monomial degenerations of toric (or lattice) ideals can be generalized to arbitrary A-graded ideals. The generalization works in dimension d=2, but it fails for d>2.
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Prime Submodules of Graded Modules [PDF]
, 2013 Let G be a group, R be a G-graded ring and M be a G-graded R-module. Suppose P is a prime ideal of Reand g G G. In this article, we defineMg (P) = {m G Mg : Am C PMg for some ideal A of Re satisfying A C P}that is an Re-submodule of Mg, and we ...
Bataineh, Malik +2 more
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Prime ideals in the quantum grassmanian [PDF]
, 2008 We consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes are completely prime in the generic case where the deformation parameter ...
Lenagan, T.H. +2 more
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On primitive ideals in graded rings [PDF]
, 2008 Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A.
Smoktunowicz, Agata
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