Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Ersoy, Bayram Ali"'
Publikováno v:
Journal of Mathematics, 2024, 1707271, 10 pages, 2024
In this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their charac
Externí odkaz:
http://arxiv.org/abs/2407.12590
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
In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zar
Externí odkaz:
http://arxiv.org/abs/2206.01099
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
Autor:
Yılmaz Uçar, Zeynep1 (AUTHOR) zeynep.ucar@std.yildiz.edu.tr, Ersoy, Bayram Ali1 (AUTHOR) ersoya@yildiz.edu.tr, Tekir, Ünsal2 (AUTHOR) utekir@marmara.edu.tr, Yetkin Çelikel, Ece3 (AUTHOR) yetkinece@gmail.com, Onar, Serkan4 (AUTHOR) sonar@yildiz.edu.tr
Publikováno v:
Mathematics (2227-7390). Jun2024, Vol. 12 Issue 12, p1801. 13p.
Autor:
Yavuz, Sanem1 (AUTHOR) ssanemy@gmail.com, Ersoy, Bayram Ali1 (AUTHOR) ersoya@yildiz.edu.tr, Tekir, Ünsal2 (AUTHOR) utekir@marmara.edu.tr, Yetkin Çelikel, Ece3 (AUTHOR) ece.celikel@hku.edu.tr
Publikováno v:
Mathematics (2227-7390). Jun2024, Vol. 12 Issue 11, p1636. 12p.
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