t-extending Krasner hypermodules | Zendy

Burcu Nişancı Türkmen | Zendy

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t-extending Krasner hypermodules

Author(s) -

Burcu Nişancı Türkmen

Publication year - 2022

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.51589

Subject(s) - intersection (aeronautics) , mathematics , computer science , discrete mathematics , engineering , aerospace engineering

Let M be a hypermodule over a hyperring R such that the intersection of any two subhypermodules of M is a subhypermodule of M. We introduce the concept of an t-essential subhypermodule in M relative to an arbitrary subhypermodule T of M, which is called T-t-essential subhypermodule of M. Our aim in this work is to investigate properties of t-essential subhypermodules. We apply this concept to introduce t-extending hypermodules. Examples are provided to illustrate different concepts.

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