Journal article
Distributive Modules
Journal of algebra, Vol.36(1), pp.16-25
1975
DOI: 10.1016/0021-8693(75)90151-9
Abstract
A module is distributive if for submodules
A,
B and
C we have
A ∩ (
B +
C) =
A ∩
B +
A ∩
C. We characterize distributive modules by the property that the socle of any quotient of such a module has homogeneous components which are either simple or zero. We prove theorems about rings
R such that
R
R
,
R
R, or both are distributive. Finally, examples are given which show that the endomorphism ring of a distributive module of finite length need be neither left nor right invariant.
Details
- Title: Subtitle
- Distributive Modules
- Creators
- Victor Camillo - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of algebra, Vol.36(1), pp.16-25
- DOI
- 10.1016/0021-8693(75)90151-9
- ISSN
- 0021-8693
- eISSN
- 1090-266X
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 1975
- Academic Unit
- Mathematics
- Record Identifier
- 9984240870402771
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