For a given commutative ring in any topos, a free module is projective if the base object is, but this condition is by no means necessary, even in spatial toposes; however, in localic toposes, it becomes necessary (for subobjects of the final sheaf) if the ring is constant (this ...
free A-module的中文解释 沪江词库精选free A-module是什么意思、英语单词推荐 自由A模 相似短语 free A module自由A模 quotient A module商A模 projective A module射影A模 free module自由模 finitely generated free module有限生成自由模 basis of a vector module矢量模的基底...
projective geometry projective technique projective test projectivity projectization projectment projector projecture projet prokaryon prokaryote prokaryotes prokaryotic Prokayotae proke proker Prokhorov Prokofiev Prokofiev Sergei Sergeyevich Prokopyevsk prolabour ...
ANDERSON'S CONJECTURE AND THE MAXIMAL MONOID CLASS OVER WHICH PROJECTIVE MODULES ARE FREE A positive solution is given to a conjecture of D. F. Anderson (Pacific J. Math. 79(1978), 5-17, p. 11) concerning freeness of finitely generated projective modules over normal monoid algebras. In ...
Let G be a finite p-group and let K be a field of characteristic p. Suppose that M is a finitely generated ICG-module. There exists a uniquely determined ICG-module ft (M) such that ft (M) has no free direct summands, and if 0: F-* M is ... ...
In this paper we give a homological characterization of free and projective crossed modules. The term crossed module was introduced by JHC Whitehead in [22] to describe a group with the algebraic structure of a relative 2-dimensional homotopy group. DOI: 10.1112/jlms/s2-22.1.66 被引量: 49...
The purpose of this paper is to study the structure of locally free modules over the ring of differential operators on projective space. Letbe a non-singular, complex, algebraic variety. Denote bythe sheaf of rings of differential operators overand byits ring of global sections. A-moduleMis ...
2.(Physical Geography) a type of zenithal map projection in which the area is mapped as if projected from infinity, with resulting distortion of scale away from the centre Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 200...
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Projective-injective modules, Serre functors and symmetric algebras They control the Serre functor in the case of a quasi-hereditary algebra having a double centraliser with respect to a projective-injective module whose ... V Mazorchuk,C Stroppel - 《Journal Für Die Reine Und Angewandte Mathema...