INVESTIGADORES
TREFFINGER CIENFUEGOS Hipolito JosÉ
artículos
Título:
Stratifying systems and g-vectors
Autor/es:
MENDOZA, OCTAVIO; SÁENZ, CORINA; TREFFINGER, HIPOLITO
Revista:
JOURNAL OF PURE AND APPLIED ALGEBRA
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Año: 2023 vol. 227
ISSN:
0022-4049
Resumen:
In this paper we study the Cartan matrix associated to the Ext-projective stratifying system induced by a basic and τ-rigid object M in mod(A) by means of the g-vectors of the indecomposable direct summands of M. In particular we show that the Cartan group of a stratifying system associated to a τ-rigid module can be calculated directly using these vectors. Moreover we characterise the stratifying systems coming from τ-rigid modules that have a diagonal Cartan matrix.
