• Türkçe
    • English
  • English 
    • Türkçe
    • English
  • Login
View Item 
  •   DSpace@HKÜ
  • Fakülteler
  • Mühendislik Fakültesi
  • Elektrik Elektronik Mühendisliği
  • MF - EEM Makale Koleksiyonu
  • View Item
  •   DSpace@HKÜ
  • Fakülteler
  • Mühendislik Fakültesi
  • Elektrik Elektronik Mühendisliği
  • MF - EEM Makale Koleksiyonu
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

On Weakly 1-Absorbing Primary Ideals of Commutative Rings

Thumbnail

View/Open

Makale Dosyası (192.4Kb)

Access

info:eu-repo/semantics/openAccess

Date

JUN 2022

Author

Badawi, Ayman
Celikel, Ece Yetkin

Metadata

Show full item record

Citation

Badawi, A., & Yetkin, C. E. (April 30, 2022). On Weakly 1-Absorbing Primary Ideals of Commutative Rings. Algebra Colloquium, 29, 2, 189-202.

Abstract

Let R be a commutative ring with 1 not equal 0. We introduce the concept of weakly 1-absorbing primary ideal, which is a generalization of 1-absorbing primary ideal. A proper ideal I of R is said to be weakly 1-absorbing primary if whenever nonunit elements a, b,c is an element of R and 0 not equal abc is an element of I, we have ab is an element of I or c is an element of root I. A number of results concerning weakly 1-absorbing primary ideals are given, as well as examples of weakly 1-absorbing primary ideals. Furthermore, we give a corrected version of a result on 1-absorbing primary ideals of commutative rings.

Source

ALGEBRA COLLOQUIUM

Volume

29

Issue

2

URI

https://doi.org/10.1142/S1005386722000153
https://hdl.handle.net/20.500.11782/2653

Collections

  • MF - EEM Makale Koleksiyonu [146]
  • WoS İndeksli Yayınlar Koleksiyonu [857]

Related items

Showing items related by title, author, creator and subject.

  • On 1-absorbing primary ideals of commutative rings 

    Badawi, Ayman; Çelikel, Ece Yetkin (World Scientific Publishing Co. Pte Ltd, 2019)
    Let R be a commutative ring with nonzero identity. In this paper, we introduce the concept of 1-absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1-absorbing primary ideal of R if whenever ...
  • 2-absorbing δ-semiprimary Ideals of Commutative Rings 

    Yetkin-Çelikel, Ece (Kyungpook National University, 2021)
    Let R be a commutative ring with nonzero identity, I(R) the set of all idealsof R and δ: I(R) → I(R) an expansion of ideals of R. In this paper, we introduce theconcept of 2-absorbing δ-semiprimary ideals in commutative ...
  • Generalizations of 1-absorbing primary ideals of commutative rings 

    Çelikel, Ece Yetkin (Politechnica University of Bucharest, 2020)
    Let R be a commutative ring with identity. In this paper, we extend the concept of 1-absorbing primary ideals to the concept of ֆ-1-absorbing primary ideals. Let ֆ: S(R) → S(R) ∪ {∅} be a function, where S(R) is the set ...



DSpace software copyright © 2002-2015  DuraSpace
Contact Us | Send Feedback
Theme by 
@mire NV
 

 




| Instruction | Guide | Contact |

DSpace@HKÜ

by OpenAIRE

Advanced Search

sherpa/romeo

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsTypeLanguageDepartmentCategoryPublisherAccess TypeInstitution AuthorThis CollectionBy Issue DateAuthorsTitlesSubjectsTypeLanguageDepartmentCategoryPublisherAccess TypeInstitution Author

My Account

LoginRegister

Statistics

View Google Analytics Statistics

DSpace software copyright © 2002-2015  DuraSpace
Contact Us | Send Feedback
Theme by 
@mire NV
 

 


|| Guide|| Instruction || Library || Hasan Kalyoncu Univesity || OAI-PMH ||

Hasan Kalyoncu Univesity, Gaziantep, Turkey
If you find any errors in content, please contact:

Creative Commons License
Hasan Kalyoncu Univesity Institutional Repository is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 Unported License..

DSpace@HKÜ: