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co-∗n-modules.
- Source :
-
Algebra Colloquium . Sep2010, Vol. 17 Issue 3, p447-456. 10p. - Publication Year :
- 2010
-
Abstract
- It is well known that the notion of ∗-modules plays an important role in the generalization of Morita equivalences. Recently, Wei et al. introduced the concept of ∗n-modules, which induces an equivalence of particular subcategories. In this paper, the dual situation of ∗n-modules, called co-∗n-modules, is considered, and their characterizations and properties are derived. We also present a characterization in terms of category duality, which can be regarded as a generalization of Morita duality. In particular, it is found that the co-selfsmall n-cotilting modules are co-∗n-modules. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MODULES (Algebra)
*MORITA duality
*SUBGROUP growth
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 17
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 51993882
- Full Text :
- https://doi.org/10.1142/S1005386710000428