Weakly $ (k,n) $-absorbing (primary) hyperideals of a Krasner $ (m,n) $-hyperring

Bijan Davvaz; Gülşen Ulucak; Ünsal Tekir

Makale detayları

Weakly $ (k,n) $-absorbing (primary) hyperideals of a Krasner $ (m,n) $-hyperring

Yazarlar:

Bijan Davvaz | Gülşen Ulucak | Ünsal Tekir

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 5, pp.1229-1238

Belge Tipi:

Makale

Yayın Tarihi:

10/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001301697

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper, we introduce new expansion classes, namely weakly  k,n -absorbing hyperideals and weakly  k,n -absorbing primary hyperideals of a Krasner  m,n -hyperring, including  k,n -absorbing hyperideal and  k,n -absorbing primary hyperideal. In summary, we give generalizations of  k,n -absorbing hyperideal and  k,n -absorbing primary hyperideal. Also, we examine the relationships between classical hyperideals and the new hyperideals and explore some ways to connect them. Additionally, some main results and examples are given to explain the structures of these concepts. Finally, we study a version of Nakayamas lemma on a commutative Krasner  m,n -hyperring.

 In this paper, we introduce new expansion classes, namely weakly  k,n -absorbing hyperideals and weakly  k,n -absorbing primary hyperideals of a Krasner  m,n -hyperring, including  k,n -absorbing hyperideal and  k,n -absorbing primary hyperideal. In summary, we give generalizations of  k,n -absorbing hyperideal and  k,n -absorbing primary hyperideal. Also, we examine the relationships between classical hyperideals and the new hyperideals and explore some ways to connect them. Additionally, some main results and examples are given to explain the structures of these concepts. Finally, we study a version of Nakayamas lemma on a commutative Krasner  m,n -hyperring.

 In this paper, we introduce new expansion classes, namely weakly  k,n -absorbing hyperideals and weakly  k,n -absorbing primary hyperideals of a Krasner  m,n -hyperring, including  k,n -absorbing hyperideal and  k,n -absorbing primary hyperideal. In summary, we give generalizations of  k,n -absorbing hyperideal and  k,n -absorbing primary hyperideal. Also, we examine the relationships between classical hyperideals and the new hyperideals and explore some ways to connect them. Additionally, some main results and examples are given to explain the structures of these concepts. Finally, we study a version of Nakayamas lemma on a commutative Krasner  m,n -hyperring.

 In this paper, we introduce new expansion classes, namely weakly  k,n -absorbing hyperideals and weakly  k,n -absorbing primary hyperideals of a Krasner  m,n -hyperring, including  k,n -absorbing hyperideal and  k,n -absorbing primary hyperideal. In summary, we give generalizations of  k,n -absorbing hyperideal and  k,n -absorbing primary hyperideal. Also, we examine the relationships between classical hyperideals and the new hyperideals and explore some ways to connect them. Additionally, some main results and examples are given to explain the structures of these concepts. Finally, we study a version of Nakayamas lemma on a commutative Krasner  m,n -hyperring.

Makale detayları

Weakly $ (k,n) $-absorbing (primary) hyperideals of a Krasner $ (m,n) $-hyperring

Yazarlar:

Bijan Davvaz | Gülşen Ulucak | Ünsal Tekir

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 5, pp.1229-1238

Belge Tipi:

Makale

Yayın Tarihi:

10/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001301697

pISSN:

2651-477X

Krasner (m,n)-hyperring

weakly (k,n)-absorbing hyperideals

weakly (k,n)-absorbing primary hyperideals

Sayı

Makale detayları

Weakly $ (k,n) $-absorbing (primary) hyperideals of a Krasner $ (m,n) $-hyperring

Yazarlar: Bijan Davvaz | Gülşen Ulucak | Ünsal Tekir

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 5, pp.1229-1238

Belge Tipi: Makale

Yayın Tarihi: 10/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001301697

pISSN: 2651-477X

Krasner (m,n)-hyperring

weakly (k,n)-absorbing hyperideals

weakly (k,n)-absorbing primary hyperideals

Sayı

Yazarlar:

Bijan Davvaz | Gülşen Ulucak | Ünsal Tekir

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 5, pp.1229-1238

Belge Tipi:

Makale

Yayın Tarihi:

10/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001301697

pISSN:

2651-477X