$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings
$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings
This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r-hyperideals in commutative Krasner hyperrings. Some properties of pr-hyperideals are also studied. The relation between prime hyperideals and r-hyperideals is investigated. We show that the image and the inverse image of an r-hyperideal are also an r-hyperideal. We also introduce a generalization of r-hyperideals, and we prove some properties of them.
National Natural Science Foundation of China (NSFC) -- 62002079 -- This work was funded in part by the National Natural Science Foundation of China (grant no. 62002079).
- YILDIZ TECNHICAL UNIVERSITY Turkey
- Yıldız Technical University Turkey
- Polytechnic University of Tirana Albania
- Istanbul Sabahattin Zaim University Turkey
13A15, 13C05, General Mathematics (math.GM), FOS: Mathematics, Mathematics - General Mathematics
13A15, 13C05, General Mathematics (math.GM), FOS: Mathematics, Mathematics - General Mathematics
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