Volume 9, Issue 1 (5-2023)                   mmr 2023, 9(1): 246-263 | Back to browse issues page

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Vaziri Y, Ghadiri M, Mirvakili S. Classification of Krasner hyperrings(and new classes of hyperrings) of order less than four and their automorphismes groups. mmr 2023; 9 (1) :246-263
URL: http://mmr.khu.ac.ir/article-1-3142-en.html
Classification of Krasner hyperrings(and new classes of hyperrings) of order less than four and their automorphismes groups
Yaser Vaziri , Mansour Ghadiri * 1, Saeed Mirvakili
1- , mghadiri@yazd.ac.ir
Abstract:   (1173 Views)
In this paper, we partition, enumerate and classify Krasner hyperrings and new classes of hyperrings (weak distributive, left inclusion distributive, right inclusion distributive, left near, right near) up to isomorphism of orders less than four and then determine their automorphism groups.
Keywords: Krasner hyperring, weak distributive Krasner hyperring, (right) left inclusion distributive Krasner hyperring, (right) left near Krasner hyperrin, classification, polygroup, semigroup, automorphism.
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Type of Study: Original Manuscript | Subject: alg
Received: 2020/10/17 | Revised: 2024/01/7 | Accepted: 2021/05/10 | Published: 2023/06/20 | ePublished: 2023/06/20
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