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arXiv · 2604.05121

The Monoid Of Binary Relations On A Set Of Size Four Has Infinite Representation Type

Joseph Daynger Ruiz
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Abstract

The problem of determining the representation type of the full transformation monoid was resolved by Ponizovskii, Putcha, and Ringel. In this paper, we present a similar result for the monoid of binary relations, a partial result for the monoid of $\Lambda$-generalized correspondences, and a sufficient condition for a monoid to have infinite representation type.

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Joseph Daynger Ruiz. 2026-04-06. The Monoid Of Binary Relations On A Set Of Size Four Has Infinite Representation Type. https://arxiv.org/abs/2604.05121

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