Let $G$ be a group with identity $e$ and $R$ be a multiplicative hyperring. We introduce and study the notions of graded $2$-absorbing and graded $2$-absorbing primary hyperideals of a graded multiplicative hyperring $R$ which are generalizations of prime hyperideals. We present basic properties and characterizations of these graded hyperideals and homogeneous components. Among various results we prove that the intersection of two graded prime hyperideals is a graded $2$-absorbing hyperideal.
Ghiasvand, P. (2023). On Graded $2$-absorbing Primary Hyperideals of a Graded Multiplicative Hyperring. Journal of Algebra and Related Topics, 11(1), 93-109. doi: 10.22124/jart.2023.23135.1453
MLA
P. Ghiasvand. "On Graded $2$-absorbing Primary Hyperideals of a Graded Multiplicative Hyperring". Journal of Algebra and Related Topics, 11, 1, 2023, 93-109. doi: 10.22124/jart.2023.23135.1453
HARVARD
Ghiasvand, P. (2023). 'On Graded $2$-absorbing Primary Hyperideals of a Graded Multiplicative Hyperring', Journal of Algebra and Related Topics, 11(1), pp. 93-109. doi: 10.22124/jart.2023.23135.1453
VANCOUVER
Ghiasvand, P. On Graded $2$-absorbing Primary Hyperideals of a Graded Multiplicative Hyperring. Journal of Algebra and Related Topics, 2023; 11(1): 93-109. doi: 10.22124/jart.2023.23135.1453
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