منابع مشابه
Generalized Koszul Complexes
This article should be viewed as a survey of generalized Koszul complexes and Koszul bicomplexes with an application to generalized Koszul complexes in projective dimension one. We shall try to give detailed information on the basic definitions and a summary of the main results. Concerning proofs the reader is invited to have a look into [I] or [IV]. Introduction. We start with the following qu...
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Introduction. In [1], the Koszul complex was used to study the relationship between codimension and multiplicity. It also helped us investigate Macaulay modules and rings, and provided a context in which to prove the Cohen-Macaulay Theorem concerning the unmixedness of complete intersections. Now there is a generalization of the Cohen-Macaulay Theorem (known, we believe, as the generalized Cohe...
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We describe Koszul type complexes associated with a linear map from any module to a free module, and vice versa with a linear map from a free module to an arbitrary module, generalizing the classical Koszul complexes. Given a short complex of finite free modules, we assemble these complexes to what we call Koszul bicomplexes. They are used in order to investigate the homology of the Koszul comp...
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(a) Centro Studi e Ricerche E. Fermi, Compendio Viminale, I-00184, Roma, Italy, (b) CERN, Theory Unit, Physics Department, 1211-CH Geneva 23, Switzerland, (c) DISTA, Università del Piemonte Orientale, via Bellini 25/g, I-15100, Alessandria, and INFN Torino, Gruppo Collegato di Alessandria, Italy. (d) Arnold Sommerfeld Center for Theoretical Physics Ludwig-Maximilians-Universität, Theresienstraß...
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Seeking the optimal design with a given number of runs is a main problem in fractional factorial designs(FFDs). Resolution of a design is the most widely usage criterion, which is introduced by Box and Hunter(1961), used to be employed to regular FFDs. The resolution criterion is extended to non-regular FFG, called the generalized resolution criterion. This criterion is providing the idea of ge...
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2013
ISSN: 0387-3870
DOI: 10.3836/tjm/1391177981