δ-primary subhypermodules on Krasner hyperrings

Document Type : Research Paper

Authors

1 Department of Mathematical Engineering, Polytechnic University of Tirana, Albania

2 Department of Mathematics and Science Education, Istanbul Sabahattin Zaim University, Istanbul, Turkiye

3 Department of Computer Engineering, Istanbul Gelisim University, Istanbul, Turkiye

4 Department of Mathematics, Yildiz Technical University, Istanbul, Turkiye

5 Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkiye

6 Department of Mathematics, Yazd University, Yazd, Iran

Abstract

In this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero unital hypermodules. We introduce a new concept, the $\delta$-primary subhypermodule on Krasner hyperrings. Some characterizations and properties for $\delta$-primary subhypermodules using the expansion function $\delta$ are provided. The images and inverse images of $\delta$-primary subhypermodules under homomorphism are investigated. Finally, some characterizations for multiplication hypermodules with some special conditions are provided.

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References

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Categories and General Algebraic Structures with Applications
Volume 21, Issue 1
July 2024
Pages 153-174

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