INVESTIGADORES
TREFFINGER CIENFUEGOS Hipolito JosÉ
artículos
Título:
τ-Tilting theory and τ-slices
Autor/es:
TREFFINGER, HIPOLITO
Revista:
JOURNAL OF ALGEBRA
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2017 vol. 481 p. 362 - 392
ISSN:
0021-8693
Resumen:
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.
