Title of article
Fundamental Commutative (m, n)-rings Obtained from (m, n)-hyperrings
Author/Authors
Norouzi ، Morteza Department of Mathematics - Faculty of Basic Sciences - University of Bojnord , Ameri ، Reza School of Mathematics, Statistics and Computer Science, College of Sciences - University of Tehran
Pages
16
From page
162
To page
177
Abstract
We introduce the fundamental relation, α∗, on an (m,n)-hyperring R and indicate that this relation is the smallest strongly regular equivalence relation on R such that R/α∗ is an commutative (m,n)-ring. We use α∗-relation to construct the fundamental functor from category of (m,n)-hyperrings to the category of commutative (m,n)-rings. Finally, some necessary and sufficient conditions for transitivity of α are given.
Keywords
n , ary hypergroup , (m n) , hyperring , strongly regular relation
Journal title
Caspian Journal of Mathematical Sciences
Serial Year
2019
Journal title
Caspian Journal of Mathematical Sciences
Record number
2483734
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