PreprintCC BY-NC-SA 4.0arXiv
Homomorphisms and subalgebras of free convex semilattices
Abstract
A convex semilattices is a convex algebra endowed with an additional semilattice operation that satisfies a distributive law. We investigate free convex semilattices by studying the homomorphisms into products RΩ and, more specifically, the homomorphisms between two free finitely generated convex semilattices. We characterise the finitely generated subalgebras of a free finitely generated convex semilattice.
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BibTeX
@misc{woracek2026homomorphisms,
title = {{Homomorphisms and subalgebras of free convex semilattices}},
author = {Harald Woracek},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.09201},
eprint = {2609.09201},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.09201},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Homomorphisms and subalgebras of free convex semilattices
AU - Harald Woracek
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2609.09201
UR - https://arxiv.org/abs/2609.09201
AB - A convex semilattices is a convex algebra endowed with an additional semilattice operation that satisfies a distributive law. We investigate free convex semilattices by studying the homomorphisms into products RΩ and, more specifically, the homomorphisms between two free finitely generated convex semilattices. We characterise the finitely generated subalgebras of a free finitely generated convex semilattice.
ER -