Result Details

A note on the support of a hypermodule

BORDBAR, H.; NOVÁK, M.; CRISTEA, I. A note on the support of a hypermodule. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, vol. 19, no. 1, p. 1-16. ISSN: 0219-4988.
Type
journal article
Language
English
Authors
Bordbar Hashem, PhD, UMAT (FEEC)
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
Cristea Irina, doc. dr., UMAT (FEEC)
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/difference 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.

Keywords

Krasner hyperring; prime/maximal hyperideal; length of hypermodules; annihilator of hypermodules; support of hypermodules

URL
Published
2020
Pages
1–16
Journal
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol. 19, no. 1, ISSN 0219-4988
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Place
SINGAPORE
DOI
10.1142/S021949882050019X
UT WoS
000515155200019
EID Scopus
2-s2.0-85062289875
BibTeX 
@article{BUT162726,
  author="Hashem {Bordbar} and Michal {Novák} and Irina {Cristea}",
  title="A note on the support of a hypermodule",
  journal="JOURNAL OF ALGEBRA AND ITS APPLICATIONS",
  year="2020",
  volume="19",
  number="1",
  pages="1--16",
  doi="10.1142/S021949882050019X",
  issn="0219-4988",
  url="https://www.worldscientific.com/doi/10.1142/S021949882050019X"
}
Departments
Department of Mathematics (UMAT)
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