Open AccessOn expansions of graded 2-absorbing hyperideals in graded multiplicative hyperrings
Author(s) -
Peyman Ghiasvand,
Farkhonde Farzalipour,
S. Mirvakili
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2109033g
Subject(s) - mathematics , multiplicative function , abelian group , pure mathematics , identity (music) , mathematical analysis , physics , acoustics
Let G be an abelian group with identity e. Let R be a graded multiplicative hyperring and ? : Igr(R) ? Igr(R) be an expansion function of Igr(R), where Igr(R) is the set of all graded hyperideals of R. In this paper, we introduce and study the concepts of graded ?-primary hyperideals of R and graded 2-absorbing ?-primary hyperideals of R which are the extended classes of graded prime and graded 2- absorbing hyperideals of R, respectively. Moreover, we give the basic properties of these new types of graded hyperideals and investigate the relations among these structures.