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Akademický článek

(M, N)-Double-Framed Soft bi-Ideals of Abel Grassmann's Groupoids

Autor: Izhar Muhammad, Khan Asghar, Farooq Muhammad, Hila Kostaq

Publikováno v: Discussiones Mathematicae - General Algebra and Applications, Vol 42, Iss 2, Pp 425-448 (2022)

The left invertive law makes Abel Grassmann's groupoids (briefly AG-groupoids) a very interesting structure to study. In this paper, we define (M, N)-double-framed soft bi-ideals (briefly (M, N)-DFS bi-ideals) and (M, N)-double-framed soft generalize

Externí odkaz: https://doaj.org/article/1a890b9b21524010a3bc084e06c33cc2

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Akademický článek

Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm

Autor: Naka Krisanthi, Hila Kostaq, Onar Serkan, Ersoy Bayram Ali

Publikováno v: Acta Universitatis Sapientiae: Mathematica, Vol 11, Iss 2, Pp 306-331 (2019)

In this paper, we study the Γ-hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasi-hyperideal and bi-hyperideal in Γ-hyperrings and s

Externí odkaz: https://doaj.org/article/70916e31fe7b4fceaa932d56d09756ed

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Akademický článek

An introduction to the theory of algebraic multi-hyperring spaces

Autor: Hila Kostaq, Davvaz Bijan

Publikováno v: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 22, Iss 3, Pp 59-72 (2014)

A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. In t

Externí odkaz: https://doaj.org/article/408d32d66171406d8ab6efe5c31bf52f

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$\delta$-$r$-Hyperideals and $\phi$-$\delta$-$r$-Hyperideals of Commutative Krasner Hyperrings

Autor: Xu, Peng, Bolat, Melis, Kaya, Elif, Onar, Serkan, Ersoy, Bayram Ali, Hila, Kostaq

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

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$\phi$-$\delta$-Primary Hyperideals in Krasner Hyperrings

Autor: Kaya, Elif, Bolat, Melis, Onar, Serkan, Ersoy, Bayram Ali, Hila, Kostaq

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

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$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings

Autor: Xu, Peng, Bolat, Melis, Kaya, Elif, Onar, Serkan, Ersoy, Bayram Ali, Hila, Kostaq

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

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