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\(| End A | = | Con A | = | Sub A | = 2^{| A|}\) for any uncountable 1-unary algebra

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Publication:594119
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DOI10.1007/BF01191785zbMath0525.08005MaRDI QIDQ594119

Oldřich Kopeček

Publication date: 1983

Published in: Algebra Universalis (Search for Journal in Brave)


zbMATH Keywords

congruence latticesubalgebra latticeendomorphism monoids1-unary algebras


Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) Automorphisms and endomorphisms of algebraic structures (08A35) Unary algebras (08A60)


Related Items (7)

The number of endomorphisms of an infinite algebra ⋮ On solvability of \(f(p(x))=q(f(x))\) for given real functions \(p,q\). ⋮ The solvability of \(f(p(x)) = q(f(x))\) for given strictly monotonous continuous real functions \(p\), \(q\) ⋮ Universal algebras ⋮ On atoms in topology lattices of unary algebras ⋮ Equation f(p(x)) = q(f(x)) for given real functions p, q ⋮ Automorphism groups of mono-unary algebras and CH



Cites Work

  • Unnamed Item
  • Some cardinal functions on algebras
  • Some cardinal functions on algebras. II
  • Über Abbildungen von Mengen
  • Topics in universal algebra
  • Homomorphisms of partial unary algebras
  • Isomorphism Types of Infinite Algebras


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