作者
Marcelo Lanzilotta, E Marcos, Octavio Mendoza, C Saenz
发表日期
2010/4/26
期刊
Communications in Algebra®
卷号
38
期号
5
页码范围
1677-1694
出版商
Taylor & Francis Group
简介
Let A be a finite dimensional k-algebra, (Θ, ≤) be a stratifying system in mod(A) and ℱ(Θ) be the class of Θ-filtered A-modules. In this article, we give the definition and also study some of the properties of the relative socle in ℱ(Θ). We approach the relative socle in three ways. Namely, we view it as (1) a Θ-semisimple subobject of M having the largest Θ-length, (2) a maximal Θ-semisimple subobject of M, and (3) a minimal Θ-essential subobject of M.
引用总数
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学术搜索中的文章
M Lanzilotta, E Marcos, O Mendoza, C Saenz - Communications in Algebra®, 2010