On the Relative Socle for Stratifying Systems
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2010
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| Resumo |
Let A be a finite dimensional k-algebra, (, ) be a stratifying system in mod(A) and F() be the class of -filtered A-modules. In this article, we give the definition and also study some of the properties of the relative socle in F(). We approach the relative socle in three ways. Namely, we view it as (1) a -semisimple subobject of M having the largest -length, (2) a maximal -semisimple subobject of M, and (3) a minimal -essential subobject of M. PAPIIT-UNAM[IN101607] PAPIIT-UNAM |
| Identificador |
COMMUNICATIONS IN ALGEBRA, v.38, n.5, p.1677-1694, 2010 0092-7872 http://producao.usp.br/handle/BDPI/30740 10.1080/00927870902973896 |
| Idioma(s) |
eng |
| Publicador |
TAYLOR & FRANCIS INC |
| Relação |
Communications in Algebra |
| Direitos |
restrictedAccess Copyright TAYLOR & FRANCIS INC |
| Palavras-Chave | #Standardly stratified algebras #Stratifying systems #FINITE PROJECTIVE DIMENSION #ALGEBRAS #MODULES #Mathematics |
| Tipo |
article original article publishedVersion |
