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Projective modules and their trace ideals
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In this article, projective modules and their trace ideals are discussed and discussed in the context of projective algebra. But the authors do not discuss their relation to the present paper.Abstract:
(1980). Projective modules and their trace ideals. Communications in Algebra: Vol. 8, No. 19, pp. 1873-1901.read more
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Reference BookDOI
Foundations of Module and Ring Theory : A Handbook for Study and Research
TL;DR: In this paper, a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work, is presented and accompanied by complete proofs, where the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category.
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One Dimensional Tilting Modules are of Finite Type
Silvana Bazzoni,Dolors Herbera +1 more
TL;DR: In this article, it was shown that every tilting module of projective dimension at most one is of finite type, and that its associated tilting class is the Ext-orthogonal of a family of finitely presented modules.
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Trace ideals and centers of endomorphism rings of modules over commutative rings
TL;DR: In this article, it was proved that the center of End R (M ) coincides with the endomorphism ring of the trace ideal of M under various hypotheses, and these results were exploited to establish results for balanced and rigid modules and to settle certain cases of a conjecture of Huneke and Wiegand.
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Modules with perfect decompositions
TL;DR: In this article, it was shown that a module has a perfect decomposition if and only if for every direct system (Mi,f ji )I of modules in Add M indexed by a totally ordered set I, the canonical epimorphism π : � i∈I Mi −→ lim → Mi is a split epimomorphism.
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Homological and topological properties of locally indicable groups
TL;DR: In this article, the classes of locally indicable groups, conservative groups, and D-groups have been studied for various reasons, and the corresponding mod p versions of the classes are also shown to coincide, for any prime p.
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Finitistic dimension and a homological generalization of semi-primary rings
TL;DR: In this article, Kaplansky showed that a commutative ring R is left T-nilpotent if, given any sequence {at} of elements in N, there exists an re such that ai • • • an = 0.
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Autour de la platitude
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.org/legal.html) implique l’accord avec les conditions generales d’utilisation.
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Hereditary Noetherian Prime Rings
David Eisenbud,J.C Robson +1 more
TL;DR: In this article it was shown that a factor ring of an arbitrary hereditary Noetherian prime ring is the direct product of two rings, one generalized uniserial, the other generalised triangular.