Article ID Journal Published Year Pages File Type
5772020 Journal of Algebra 2017 30 Pages PDF
Abstract
Comparing the module categories of an algebra and of the endomorphism algebra of a given support τ-tilting module, we give a generalization of the Brenner-Butler's tilting theorem in the framework of τ-tilting theory. Afterwards we define τ-slices and prove that complete slices of tilted algebras and local slices of cluster tilted algebras are examples of complete τ-slices. Then we apply this concept to the study of simply connected tilted algebras. Finally, we study the one-point extensions and the split-by-nilpotent extensions of an algebra with τ-slices.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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