Publication result detail

A note on the support of a hypermodule

BORDBAR, H.; NOVÁK, M.; CRISTEA, I.

Original Title

A note on the support of a hypermodule

English Title

A note on the support of a hypermodule

Type

WoS Article

Original 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.

English 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

Key words in English

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

Authors

BORDBAR, H.; NOVÁK, M.; CRISTEA, I.

RIV year

2021

Released

16.01.2020

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD

Location

SINGAPORE

ISBN

0219-4988

Periodical

JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Volume

19

Number

1

State

Republic of Singapore

Pages from

1

Pages to

16

Pages count

19

URL

https://www.worldscientific.com/doi/10.1142/S021949882050019X

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"
}