Title of article :
δ-primary subhypermodules on Krasner hyperrings
Author/Authors :
Kaya ، Elif Department of Mathematics and Science Education - Istanbul Sabahattin Zaim University , Bolat ، Melis Department of Computer Engineering - Istanbul Gelisim University , Ersoy ، Bayram Ali Department of Mathematics - Yildiz Technical University , Onar ، Serkan Department of Mathematical Engineering - Yildiz Technical University , Hila ، Kostaq Department of Mathematical Engineering - Polytechnic University of Tirana , Davvaz ، Bijan Department of Mathematics - Yazd University
Abstract :
In this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero unital hypermodules. We introduce a new concept, the δ-primary subhypermodule on Krasner hyperrings. Some characterizations and properties for δ-primary subhypermodules using the expansion function δ are provided. The images and inverse images of δ-primary sub-hypermodules under homomorphism are investigated. Finally, some characterizations for multiplication hypermodules with some special conditions are provided.
Keywords :
δ , primary subhypermodules , expansion of subhypermodules , multiplication hypermodules , Krasner hyperrings
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications