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Vertex operator algebra and parenthesized braid operad [PDF]
Conformal blocks, physical quantities of chiral 2d conformal field theory, are sheaves on the configuration spaces of the complex plane, which are mathematically formulated in terms of a vertex operator algebra, its modules and associated D-modules.
Moriwaki, Yuto
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Consistency of operator product expansions of Boundary 2d CFT and Swiss-cheese operad [PDF]
In this paper, we construct an action of the fundamental groupoid of the Swiss-cheese operad (the parenthesized permutation and braid operad) on $C_1$-cofinite module categories of a vertex operator algebra.
Moriwaki, Yuto
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Generalization of cofinitely supplemented modules to lattices
, 2005 Adı-Soyadı: Yasin ÇET ND LOkul: zmir Yüksek Teknoloji EnstitüsüAnabilim Dalı: MatematikProgramı: Matematik (Yüksek Lisans)Tez Ba lı ı: Dual Sonlu Tümleyen Modüllerin Kafes TeorisineGenelle tirilmesiÖZETBu tezde dual sonlu tümleyen modül kavramının kafes teorisindetanımlanması ve genelle tirilmesi ara tırılmaktadır.
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Cofinitely \delta-supplemented and cofinitely \delta-semiperfect modules
International Journal of Algebra, 2007 openaire +1 more source
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Cofiniteness of Torsion Functors of a Pair of Cofinite Modules
Communications in Algebra, 2021Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Tor i R ( N , M ) are I-cofinite for all i ≥ 0 if M and N are I-cofinite R-modules and N is of dimension at most...
Kamal Bahmanpour
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Communications in Algebra, 2016
Let R be a commutative Noetherian ring, I an ideal of R, and M an arbitrary R-module. It is shown that the R-module is finitely generated, for all i ≥ 0, if and only if the R-module is finitely generated, for all 0 ≤ i ≤ ara(I). As an immediate consequence, we prove that, if R is a Noetherian (resp.
Kamal Bahmanpour, Moharram Aghapournahr
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Let R be a commutative Noetherian ring, I an ideal of R, and M an arbitrary R-module. It is shown that the R-module is finitely generated, for all i ≥ 0, if and only if the R-module is finitely generated, for all 0 ≤ i ≤ ara(I). As an immediate consequence, we prove that, if R is a Noetherian (resp.
Kamal Bahmanpour, Moharram Aghapournahr
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On Modules Having Small Cofinite Irreducibles
Canadian Mathematical Bulletin, 1994 AbstractIn this paper we obtain several new characterizations of modules having small cofinite irreducibles. One of these characterizations involves a metric topology defined on the submodule lattice.
Johnson, E. W. +2 more
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Cofinitely F-supplemented modules
São Paulo Journal of Mathematical Sciences, 2023 Let \(R\) be a unital ring, \(M\) a left \(R\)-module, and \(U,\, V\) and \(F\) submodules of \(M\) with \(F\) proper. \(V\) is an \(F\)-supplement of \(U\) in \(M\) if \(V\) is minimal in the collection of submodules \(F\subseteq X \subset M\) such that \(M = U + X\).
Özdemir, Salahattin
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