1997
DOI: 10.1023/a:1022448406768
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Retract irreducibility of connected monounary algebras II

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Cited by 14 publications
(28 citation statements)
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“…Assume that (c2) is valid and that A is not irreducible. By 1.3, there are a, b ∈ A with a = b such that f (a) = f (b) = c. Then the condition (C4) from [4] is satisfied and in view of the construction 4.1 and the corresponding lemmas in [4] we obtain that A is representable by means of irreducibles (these irreducibles are isomorphic to $ ∞ ).…”
Section: A With a One-element Cyclementioning
confidence: 96%
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“…Assume that (c2) is valid and that A is not irreducible. By 1.3, there are a, b ∈ A with a = b such that f (a) = f (b) = c. Then the condition (C4) from [4] is satisfied and in view of the construction 4.1 and the corresponding lemmas in [4] we obtain that A is representable by means of irreducibles (these irreducibles are isomorphic to $ ∞ ).…”
Section: A With a One-element Cyclementioning
confidence: 96%
“…Connected monounary algebras which are retract irreducible in the above classes were characterized in [4], [5] and [6] as follows:…”
Section: Preliminariesmentioning
confidence: 99%
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