More on Prime, Maximal and Principal Soft Ideals of Soft Rings

Akín Osman Atagün () and Aslihan Sezgi̇n
Additional contact information
Akín Osman Atagün: Department of Mathematics, Ahi Evran University, 40100 Kırşehir, Turkey
Aslihan Sezgi̇n: Department of Mathematics and Science Education, Amasya University, 05100 Amasya, Turkey

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 01, 195-207

Abstract: In this paper, we aim to extend the studies [M. R. Alimoradi, R. Rezaei and M. Rahimi, Some notes on ideals in soft rings, Journal Australian Journal of Basic and Applied Sciences 6(3) (2012) 717–721; F. Koyuncu and B. Tanay, Some soft algebraic structures, Journal of New Results Science 10(2016) 38–51] as regards maximal, prime and principal soft ideal of soft rings, characterize soft rings with these soft ideals and also provide some more relations between maximal, prime and principal soft ideals of soft rings. The notions of maximality and primeness points of soft ideals of a soft rings are defined, maximal and prime idealistic soft rings as well as maximal, prime and principal soft ideal of soft rings and their basic properties are more investigated under certain conditions, especially by means of homomorphism and epimorphism of rings. We apply some of the basic results about maximal ideals and prime ideals in classical abstract algebra to maximal, prime and principal idealistic soft rings and we give some of their interrelations between each others.

Keywords: Soft sets; soft rings; idealistic soft rings; maximal soft ideals; prime soft ideals; maximal idealistic soft rings; prime idealistic soft rings (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005722500119
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:18:y:2022:i:01:n:s1793005722500119

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005722500119

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().