Multi-algebras as tolerance quotients of algebras

preprint2022arXivOpen access

Abstract

If AA is an algebra and \bgt is a tolerance on AA, then $A/\bgt$ is a multi-algebra in a natural way. We give an example to show that not every multi-algebra arises in this manner. We slightly generalize the construction of $A/\bgt$ and prove that every multi-algebra arises from this modified construction.

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