Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772020 | Journal of Algebra | 2017 | 30 Pages |
Abstract
Comparing the module categories of an algebra and of the endomorphism algebra of a given support Ï-tilting module, we give a generalization of the Brenner-Butler's tilting theorem in the framework of Ï-tilting theory. Afterwards we define Ï-slices and prove that complete slices of tilted algebras and local slices of cluster tilted algebras are examples of complete Ï-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 Ï-slices.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hipolito Treffinger,