JP Journal of Algebra, Number Theory and Applications
Volume 43, Issue 2, Pages 199 - 215
(August 2019) http://dx.doi.org/10.17654/NT043020199 |
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CONGRUENCES AND QUOTIENTS OF TERNARY ALGEBRAS
Utsanee Leerawat and Pradchaya Piajan
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Abstract: In this paper, we introduce the notion of congruences on the ternary algebras and investigate some interesting properties. We give constructions of quotient ternary algebras induced by congruence relations. Finally, by the congruence relation induced by homomorphisms, we are able to establish some isomorphism theorems. |
Keywords and phrases: congruence relation, ternary algebra, quotient ternary.
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