Publication:
On strongly semiprime modules and submodules

Issued Date

2018-12-01

Resource Type

Article

ISSN

16860209

Other identifier(s)

2-s2.0-85059454828

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Thai Journal of Mathematics. Vol.16, No.3 (2018), 577-590

Suggested Citation

Hai Q. Dinh, Nguyen Trong Bac, Nico Johannes Groenewald, Dong Thi Hong Ngoc On strongly semiprime modules and submodules. Thai Journal of Mathematics. Vol.16, No.3 (2018), 577-590. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/46093

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Title

On strongly semiprime modules and submodules

Author(s)

Hai Q. Dinh
 Nguyen Trong Bac
 Nico Johannes Groenewald
 Dong Thi Hong Ngoc

Other Contributor(s)

Ton-Duc-Thang University
 Mahidol University
 Nguyen Tat Thanh University
 Nelson Mandela University
 Thai Nguyen University of Economics and Business Administration

Abstract

© 2018 by the Mathematical Association of Thailand. All rights reserved. We provide the notion of strongly semiprime submodules of a given right R-module M and describe properties of them as a generalization of completely semiprime ideals in associative rings. We show that a proper fully invariant submodule of M is strongly prime if and only if it is prime and strongly semiprime.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/46093

Collections

Scopus 2018