Abstract

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 ø-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity. δ-r-hyperideals of commutative Krasner hyperrings are studied. Some properties of ø-δ-r-hyperideals are investigated and several examples are provided.

Details

Title
δ-r-hyperideals and Φ-δ-r-hyperideals of commutative Krasner hyperrings
Author
Xu, Peng 1 ; Bolat, Melis 2 ; Kaya, Elif 3 ; Onar, Serkan 4 ; Ersoy, Bayram Ali 2 ; Hila, Kostaq

 School of Computer Science of Information Technology, Qiannan Normal University for Nationalities, Duyun, 558000 Guizhou, P. R. China 
 Department of Mathematics, Yildiz Technical University, Istanbul, Turkey 
 Department of Mathematics and Science Education, Istanbul Sabahattin Zaim University, Istanbul, Turkey 
 Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey 
Pages
96-103
Section
ALGEBRAIC HYPERSTRUCTURES
Publication year
2023
Publication date
2023
Publisher
Teaduste Akadeemia Kirjastus (Estonian Academy Publishers)
ISSN
17366046
e-ISSN
17367530
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2788899189
Copyright
© 2023. This work is published under https://creativecommons.org/licenses/by-nc/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.