Convexities of partial monounary algebras期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Convexities of partial monounary algebras

Authors:	D Jakubíková-Studenovská

Institution:	(1) Institute of Mathematics, Faculty of Science, P. J. Šafárik University, Jesenná 5, SK-041 54 Košice, Slovakia

Abstract:	In the present paper we prove that the collection ${\mathbf{K}}$ of all convexities of partial monounary algebras is finite; namely, it has exactly 23 elements. Further, we show that for each element ${\mathcal{K}} \in {\bf K}$ there exists a subset ${\mathcal{K}}_{0}$ of ${\mathcal{K}}$ such that ${\mathcal{K}}$ is generated by ${\mathcal{K}}_{0}$ and card ${\mathcal{K}}_{0} \leq 2$ . This work was supported by the Science and Technology Assistance Agency under the contract No. APVT-20-004104. Supported by Grant VEGA 1/3003/06.

Keywords:	2000 Mathematics Subject Classification:" target="_blank">2000 Mathematics Subject Classification: Primary: 08A60
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