Geodesic
On expansions of graded 2-absorbing hyperideals in graded multiplicative hyperrings
Filomat, Tome 35 (2021) no. 9, p. 3033

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DOI

Let G be an abelian group with identity e. Let R be a graded multiplicative hyperring and δ : I r (R) → I r (R) be an expansion function of I r (R), where I r (R) is the set of all graded hyperideals of R. In this paper, we introduce and study the concepts of graded δ-primary hyperideals of R and graded 2-absorbing δ-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
DOI : 10.2298/FIL2109033G
Classification : 20N20, 13A02
Keywords: graded multiplicative hyperring, graded δ-primary hyperideal, graded 2-absorbing δ-primary hyperideal 
Peyman Ghiasvand; Farkhonde Farzalipour; Saeed Mirvakili. On expansions of graded 2-absorbing hyperideals in graded multiplicative hyperrings. Filomat, Tome 35 (2021) no. 9, p. 3033 . doi: 10.2298/FIL2109033G
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     title = {On expansions of graded 2-absorbing hyperideals in graded multiplicative hyperrings},
     journal = {Filomat},
     pages = {3033 },
     year = {2021},
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     number = {9},
     doi = {10.2298/FIL2109033G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2109033G/}
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