Browsing by Author "Ersoy, Bayram Ali"
Now showing items 1-5 of 5
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On φ-δ-Primary Submodules
Ersoy, Bayram Ali; Tekir, Ünsal; Kaya, Elif; Bolat, Melis; Koç, Suat (Springer Science and Business Media Deutschland GmbH, 2022)In this paper, we introduce and study a new class of submodules which unify the concepts of prime and primary submodules. Let M be a unital module over a commutative ring R,ϕ:L(M)→L(M)∪{∅} be a reduction function and δ: ... -
r-Hyperideals and Generalizations of r-Hyperideals in Krasner Hyperrings
Xu, Peng; Bolat, Melis; Kaya, Elif; Onar, Serkan; Ersoy, Bayram Ali; Hila, Kostaq (Hindawi Limited, 2022)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 ... -
δ -r-hyperideals and φ -δ -r-hyperideals of commutative Krasner hyperrings
Xu, Peng; Bolat, Melis; Kaya, Elif; Onar, Serkan; Ersoy, Bayram Ali; Hila, Kostaq (ESTONIAN ACAD PUBLISHERS, 2023)This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to 0-3-r-hyperideal in commutative Krasner hyperrings ... -
δ-Primary Subhypermodules on Krasner Hyperrings
Kaya, Elif; Bolat, Melis; Ersoy, Bayram Ali; Onar, Serkan; Hila, Kostaq; Davvaz, Bijan (Shahid Beheshti University, 2024)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 ... -
φ -δ-Primary Hyperideals in Krasner Hyperrings
Guan, Hao; Kaya, Elif; Bolat, Melis; Onar, Serkan; Ersoy, Bayram Ali; Hila, Kostaq (Hindawi Limited, 2022)In this paper, we study commutative Krasner hyperrings with nonzero identity. φ-prime, φ-primary and φ-δ-primary hyperideals are introduced. The concept of δ-primary hyperideals is extended to φ-δ-primary hyperideals. Some ...
