Title of article :
On graded absorbing hyperideals in graded Krasner hyperrings
Author/Authors :
Ghiasvand ، P. Department of Mathematics - Payame Noor University , Raeisi ، M. Department of Mathematics - Payame Noor University , Mirvakili ، S. Department of mathematics - Payame Noor University , Farzalipour ، F. Department of Mathematics - Payame Noor University
Abstract :
Let G be a group (monoid) with identity e and R be a commutative Krasner hyperring. In this paper, we introduce the concepts of graded absorbing hyperideals of a graded Krasner hyperring such as, graded 2-absorbing hyperideals, graded n-absorbing hyperideals and graded 2-absorbing subhypermodules. Some basic properties of these structures and characterizations of these graded absorbing hyperideals and homogeneous components are proved.
Keywords :
Graded Krasner hyperring , graded hyperideal , graded n , absorbing hyperideal , graded 2 , absorbing subhypermodule
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
