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Titlebook: Commutative Algebra; Expository Papers De Irena Peeva Book 2013 Springer Science+Business Media New York 2013 Castelnuovo-Mumford regularit

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Changing Attitudes to Delinquency K-algebras R whose residue field K has a linear free resolution as an R-module. The Castelnuovo-Mumford regularity is, after Krull dimension and multiplicity, perhaps the most important invariant of a finitely generated graded module M, as it controls the vanishing of both syzygies and the local co
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Mary Buckley (Lecturer in Politics)s. However, any algebraist contemplating the question, “on what locus of prime ideals in Spec(R) does an element e in a module E generate a free summand?”, has in fact encountered the concept of an order ideal. In the account on order ideals and their applications in this paper, it is our intent to
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Soviet Social Scientists Talkingscussed. These include some problems that, historically, motivated the development of the theory. One of these is the theorem that rings of invariants of linearly reductive groups acting on regular rings are Cohen-Macaulay, including normal rings generated by monomials. Another is the characterizati
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