‎Some ‎results ‎on ‎g‎‎raded ‎p‎rime and ‎p‎rimary ‎h‎yperideals

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Ghiasvand P.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC HYPERSTRUCTURES AND LOGICAL ALGEBRAS Year:2023 | Volume:4 | Issue:1 Page(s): 107-120

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Information Journal Paper

Title

‎Some ‎results ‎on ‎g‎‎raded ‎p‎rime and ‎p‎rimary ‎h‎yperideals

Author(s)

Ghiasvand P. | Issue Writer Certificate

Keywords

Fundamental relation‎

‎Graded multiplicative hyperring‎

‎Graded prime hyperideal‎

‎Graded primary hyperideal

Abstract

Let G be a group with identity e and R be a multiplicative hyperring‎. ‎W‎e introduce the concept of G-graded multiplicative hyperring R and present some ‎new‎ results and examples‎. ‎This ‎‎‎‎‎article ‎aim ‎is ‎‎‎to ‎introduce ‎and ‎study‎ ‎‎‎‎‎‎‎‎‎graded ‎‎prime ‎and ‎‎graded ‎‎p‎rimary ‎hy‎perideals ‎which ‎are‎ ‎different ‎generalizations ‎of‎ ‎‎prime ‎and‎‎ ‎‎‎‎p‎rimary ‎hyperideals. ‎Several‎ ‎basic ‎properties‎, ‎examples and characterizations of graded ‎prime (graded ‎primary)‎ hyperideals of a graded multiplicative hyperring R are ‎presented ‎such ‎as ‎investigating‎ of this structure under homogeneous components‎, ‎graded hyperring homomorphisms‎, ‎quotient graded hyperrings and fundamental relations‎.

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