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A note on the support of a hypermodule.

Authors :
Bordbar, Hashem
Novák, Michal
Cristea, Irina
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]

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