Results 1 to 10 of about 234,678 (87)
Remarks on non-commutative crepant resolutions of complete intersections [PDF]
arXiv, 2009 We study obstructions to existence of non-commutative crepant resolutions, in the sense of Van den Bergh, over local complete ...
Dao, Hailong
core +3 more sources
Gr\"obner Bases and Generation of Difference Schemes for Partial Differential Equations [PDF]
, 2006 In this paper we present an algorithmic approach to the generation of fully conservative difference schemes for linear partial differential equations. The approach is based on enlargement of the equations in their integral conservation law form by extra ...
Blinkov, Yuri A. +2 more
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Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings [PDF]
, 2006 This paper studies Frobenius powers of parameter ideals in a commutative Noetherian local ring R of prime characteristic p. For a given ideal a of R, there is a power Q of p, depending on a, such that the Qth Frobenius power of the Frobenius closure of a
Brenner +24 more
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Shellable graphs and sequentially Cohen-Macaulay bipartite graphs [PDF]
, 2007 Associated to a simple undirected graph G is a simplicial complex whose faces correspond to the independent sets of G. We call a graph G shellable if this simplicial complex is a shellable simplicial complex in the non-pure sense of Bjorner-Wachs. We are
Van Tuyl, Adam, Villarreal, Rafael H.
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Factorization invariants in numerical monoids
, 2016 Nonunique factorization in commutative monoids is often studied using factorization invariants, which assign to each monoid element a quantity determined by the factorization structure. For numerical monoids (co-finite, additive submonoids of the natural
O'Neill, Christopher, Pelayo, Roberto
core +1 more source
Picard groups of punctured spectra of dimension three local hypersurfaces are torsion-free
, 2011 Let (R,m) be a local ring and U_R=Spec(R) -{m} be the punctured spectrum of R. Gabber conjectured that if R is a complete intersection of dimension 3, then the abelian group Pic(U_R) is torsion-free.
Auslander +7 more
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On modules with self Tor vanishing
, 2019 The long-standing Auslander and Reiten Conjecture states that a finitely generated module over a finite-dimensional algebra is projective if certain Ext-groups vanish.
Celikbas, Olgur, Holm, Henrik
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Realizable sets of catenary degrees of numerical monoids
, 2017 The catenary degree is an invariant that measures the distance between factorizations of elements within an atomic monoid. In this paper, we classify which finite subsets of $\mathbb Z_{\ge 0}$ occur as the set of catenary degrees of a numerical monoid ...
O'Neill, Christopher, Pelayo, Roberto
core +1 more source
Matlis category equivalences for a ring epimorphism
, 2020 Under mild assumptions, we construct the two Matlis additive category equivalences for an associative ring epimorphism $u\colon R\to U$. Assuming that the ring epimorphism is homological of flat/projective dimension $1$, we discuss the abelian categories
Bazzoni, Silvana, Positselski, Leonid
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Asymptotic Behavior of Ext functors for modules of finite complete intersection dimension
, 2010 Let $R$ be a local ring, and let $M$ and $N$ be finitely generated $R$-modules such that $M$ has finite complete intersection dimension. In this paper we define and study, under certain conditions, a pairing using the modules $\Ext_R^i(M,N)$ which ...
C. Huneke +27 more
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