Article ID Journal Published Year Pages File Type
9493372 Journal of Algebra 2005 12 Pages PDF
Abstract
We study a natural generalization of *n-modules (and hence also of *-modules) by introducing the notion of *∞-modules. The most important results about *n-modules (and also *-modules) are extended to *∞-modules (for example, Theorem 2.7, etc.). An interesting subclass of the class of *∞-modules, namely the class of ∞-tilting modules, may be viewed as a more natural generalization of tilting modules of finite projective dimension to infinite projective dimension. We show that the generalization of the Brenner-Butler theorem in the tilting theory holds for ∞-tilting modules (Theorem 3.9).
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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