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pro vyhledávání: '"Onar, Serkan"'
In this paper, all rings are commutative with nonzero identity. Let M be an R-module. We introduce the concept of phi classical 1-absorbing prime submodules. A proper submodule N of M is a phi classical 1-absorbing prime submodule if whenever non uni
Externí odkaz:
http://arxiv.org/abs/2405.16332
In this study, we aim to introduce the concept of classical 1-absorbing prime submodules of a nonzero unital module $M$ over a commutative ring $A$ with unity. A proper submodule $P$ of $M$ is said to be a classical 1-absorbing prime submodule, if fo
Externí odkaz:
http://arxiv.org/abs/2405.05971
In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital module $M$ over a commutative ring $R$ having a nonzero identity. A proper submodule $N$ of $M$ is said to be a weakly classical 1-absorbing prime submodule, if
Externí odkaz:
http://arxiv.org/abs/2403.19659
Autor:
Onar, Serkan1 (AUTHOR) sonar@yildiz.edu.tr
Publikováno v:
Symmetry (20738994). Oct2024, Vol. 16 Issue 10, p1288. 31p.
In this paper, our purpose is to define the expansion of $r$-hyperideals and extend this concept to $\phi$-$\delta$-$r$-hyperideal. Let $\Re$ be a commutative Krasner hyperring with nonzero identity. Given an expansion $\delta$ of hyperideals, a prop
Externí odkaz:
http://arxiv.org/abs/2112.05513
In this paper, we study commutative Krasner hyperring with nonzero identity. $\phi$-prime, $\phi$-primary and $\phi$-$\delta$-primary hyperideals are introduced. We intend to extend the concept of $\delta$-primary hyperideals to $\phi$-$\delta$-prima
Externí odkaz:
http://arxiv.org/abs/2111.02501
In this study, we examine some properties of $r$-hyperideals in the 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 ima
Externí odkaz:
http://arxiv.org/abs/2110.10264
Akademický článek
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Autor:
OZKAN, ERDOGAN MEHMET1 mozkan@yildiz.edu.tr, ONAR, SERKAN2 sonar@yildiz.edu.tr, OZKAN, AYTEN1 uayten@yildiz.edu.tr, AYAN, RABİA3 rabiaayan408@gmail.com
Publikováno v:
Journal of Science & Arts. Mar2023, Vol. 23 Issue 1, p187-198. 12p.
Autor:
Onar, Serkan1 (AUTHOR), Hila, Kostaq2 (AUTHOR), Etemad, Sina3 (AUTHOR), Akgül, Ali4,5,6 (AUTHOR) aliakgul@siirt.edu.tr, De la Sen, Manuel7 (AUTHOR) aliakgul@siirt.edu.tr, Rezapour, Shahram3,8,9 (AUTHOR) aliakgul@siirt.edu.tr
Publikováno v:
Symmetry (20738994). Mar2023, Vol. 15 Issue 3, p740. 21p.