Three results on Frobenius categories - Mathematics > Representation TheoryReportar como inadecuado




Three results on Frobenius categories - Mathematics > Representation Theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: This paper consists of three results on Frobenius categories: 1 we givesufficient conditions on when a factor category of a Frobenius category isstill a Frobenius category; 2 we show that any Frobenius category isequivalent to an extension-closed exact subcategory of the Frobenius categoryformed by Cohen-Macaulay modules over some additive category; this is ananalogue of Gabriel-Quillen-s embedding theorem for Frobenius categories; 3we show that under certain conditions an exact category with enough projectiveand enough injective objects allows a natural new exact structure, with whichthe given category becomes Frobenius. Several applications of the results arediscussed.



Autor: Xiao-Wu Chen

Fuente: https://arxiv.org/







Documentos relacionados