Reduction of some homological conjectures to excellent unique factorization domains

Autor:	Tavanfar, Ehsan
Rok vydání:	2016
Předmět:	Mathematics - Commutative Algebra 13D22 13H10
Druh dokumentu:	Working Paper
Popis:	In this article, applying the quasi-Gorenstein analogous of the Ulrich's deformation of certain Gorenstein rings we show that some homological conjectures, including the Monomial Conjecture, Big Cohen-Macaulay Algebra Conjecture as well as the Small Cohen-Macaulay Conjecture reduce to the excellent unique factorization domains. Some other reductions of the Monomial Conjecture are also proved. We, moreover, show that certain almost complete intersections adhere the Monomial Conjecture. Comment: comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1607.00025 Zobrazit plný text záznamu View this record from Arxiv