The Monoid Of Binary Relations On A Set Of Size Four Has Infinite Representation Type
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911571260735488 |
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| author | Ruiz, Joseph Daynger |
| author_facet | Ruiz, Joseph Daynger |
| contents | 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 $Λ$-generalized correspondences, and a sufficient condition for a monoid to have infinite representation type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05121 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Monoid Of Binary Relations On A Set Of Size Four Has Infinite Representation Type Ruiz, Joseph Daynger Representation Theory 16G60, 20M30 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 $Λ$-generalized correspondences, and a sufficient condition for a monoid to have infinite representation type. |
| title | The Monoid Of Binary Relations On A Set Of Size Four Has Infinite Representation Type |
| topic | Representation Theory 16G60, 20M30 |
| url | https://arxiv.org/abs/2604.05121 |