Formations of finite monounary algebras
type: Item
instance of: scholarly article
title: Formations of finite monounary algebras
zbMATH Open document ID: 1283.08006
author: Danica Jakubiková-Studenovská
author: Jozef Pócs
published in: Algebra Universalis
publication date: 2013-01-30T00:00:00Z
review text: The notion of a formation algebra has been firstly introduced in 1970s for finite groups. After that, this concept was deeply investigated for the cases of lattices, \(\ell\)-groups, GMV-algebras and general algebraic structures. In this paper, the authors prove that the collection of all formations of finite monounary algebras is isomorphic to the lattice of all hereditary subsets of a certain poset.
reviewed by: Lavinia Ciungu
Mathematics Subject Classification ID: 08A60
Mathematics Subject Classification ID: 08B26
zbMATH DE Number: 6132823
zbMATH Keywords: monounary algebra
zbMATH Keywords: formation
zbMATH Keywords: subdirect product
zbMATH Keywords: formation algebra
MaRDI profile type: Publication
full work available at URL: s00012-012-0208-x
OpenAlex ID: W2049775043
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cites work: Unary algebras
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cites work: Q3961010
cites work: Q3994689
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cites work: Subdirectly Irreducible Unary Algebras
DOI: 10.1007/S00012-012-0208-X
description: scientific article; zbMATH DE number 6132823