On computation of some types Krasner hyperrings of order less than 4 and their automorphisms

Author(s):

Yaser Vaziri , Mansour Ghadiri* , Saeed Mirvakili

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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

Language:
Persian
Published:
Journal of Mathematical Researches, Volume:9 Issue: 1, 2023
Pages:
246 to 263
https://www.magiran.com/p2589503