Results 1 to 10 of about 86 (60)
ON $(m,n)$-CLOSED IDEALS IN AMALGAMATED ALGEBRA
International Electronic Journal of Algebra, 2021 Let R be a commutative ring with 1 6= 0 and let m and n be integers with 1 ≤ n < m. A proper ideal I of R is called an (m,n)-closed ideal of R if whenever am ∈ I for some a ∈ R implies an ∈ I. Let f : A → B be a ring homomorphism and let J be an ideal of
Mohammed Issoual +2 more
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When are the natural embeddings of classical invariant rings pure?
Forum of Mathematics, Sigma, 2023 Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster +3 more
doaj +1 more source
On 2r-ideals in commutative rings with zero-divisors
Open Mathematics, 2023 In this article, we are interested in uniformly prpr-ideals with order ≤2\le 2 (which we call 2r2r-ideals) introduced by Rabia Üregen in [On uniformly pr-ideals in commutative rings, Turkish J. Math. 43 (2019), no. 4, 18781886]. Several characterizations
Alhazmy Khaled +3 more
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Cohen-Macaulay clutters with combinatorial optimization properties and parallelizations of normal edge ideals [PDF]
, 2008 Let C be a uniform clutter and let I = I ( C ) be its edge ideal. We prove that if C satisfies the packing property (resp. max-flow min-cut property), then there is a uniform Cohen-Macaulay clutter C 1 satisfying the packing property (resp.
Luis A. Dupont +2 more
semanticscholar +1 more source
Adem relations in the Dyer–Lashof algebra and modular invariants [PDF]
, 2004 This work deals with Adem relations in the Dyer-Lashof algebra from a modular invariant point of view. The main result is to provide an algorithm which has two effects: Firstly, to calculate the hom-dual of an element in the Dyer-Lashof algebra; and ...
N. Kechagias
semanticscholar +1 more source
Reduction numbers and initial ideals [PDF]
, 2002 The reduction number r(A) of a standard graded algebra A is the least integer k such that there exists a minimal reduction J of the homogeneous maximal ideal m of A such that Jmk = mk+1. Vasconcelos conjectured that r(R/I) ≤ r(R/in(I)) where in(I) is the
A. Conca
semanticscholar +1 more source
Some Extensions of Generalized Morphic Rings and EM-rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and EM-rings. Although PP-rings are included in the later rings, the converse is not in general true.
Ghanem Manal, Abu Osba Emad
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SPANNING SIMPLICIAL COMPLEXES OF n-CYCLIC GRAPHS WITH A COMMON VERTEX
, 2014 In this paper, we characterize some algebraic and combinatorial properties of spanning simplicial complex ∆s(Gt1, t2, ··· , tn ) of the class of the n-cyclic graphs Gt1, t2, ··· , tn with a common edge.
Yangyang Pan, Rongrong Li, G. Zhu
semanticscholar +1 more source
On algebraic characterization of SSC of the Jahangir’s graph 𝓙n,m
Open Mathematics, 2018 In this paper, some algebraic and combinatorial characterizations of the spanning simplicial complex Δs(𝓙n,m) of the Jahangir’s graph 𝓙n,m are explored. We show that Δs(𝓙n,m) is pure, present the formula for f-vectors associated to it and hence deduce a ...
Raza Zahid, Kashif Agha, Anwar Imran
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Depth and Stanley depth of the edge ideals of the powers of paths and cycles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Let k be a positive integer. We compute depth and Stanley depth of the quotient ring of the edge ideal associated to the kth power of a path on n vertices.
Iqbal Zahid, Ishaq Muhammad
doaj +1 more source