Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4653533 | European Journal of Combinatorics | 2015 | 11 Pages |
Abstract
Based on the properties of the poset of those equivalence relations of a multialgebra for which the factor multialgebra is a universal algebra, we give a characterization for the fundamental relations of a multialgebra. We point out the benefits of our approach by giving two applications. One of them provides a new characterization of the commutative fundamental relation of a hyperring, and the other will give a general category theoretical property of the construction of the fundamental algebras (both in the general case and in the hyperring case).
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Cosmin Pelea, Ioan Purdea, Liana Stanca,