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A note on the support of a hypermodule.
- Source :
-
Journal of Algebra & Its Applications . Jan2020, Vol. 19 Issue 1, pN.PAG-N.PAG. 19p. - Publication Year :
- 2020
-
Abstract
- In this paper, we initiate the study of the notion of support of a hypermodule over a Krasner hyperring, providing several connections with the annihilator of such hypermodules. We concentrate on the similarities/differences between these concepts and the analogous ones from classical algebra (module theory). After defining and characterizing the support of a hypermodule (and in particular of a finitely generated hypermodule), by using the notion of length of a hypermodule, we determine the support of a quotient hypermodule containing only one maximal hyperideal. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*CONCEPTS
*RESEMBLANCE (Philosophy)
*QUOTIENT rings
*NOETHERIAN rings
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 19
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 141734035
- Full Text :
- https://doi.org/10.1142/S021949882050019X