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A Property of the Weak Subalgebra Lattice for Algebras with Some Non-Equalities
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  • Journal title : Kyungpook mathematical journal
  • Volume 50, Issue 2,  2010, pp.195-211
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2010.50.2.195
 Title & Authors
A Property of the Weak Subalgebra Lattice for Algebras with Some Non-Equalities
Pioro, Konrad;
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Let A be a locally finite total algebra of finite type such that ai for every operation , elements an and . We show that the weak subalgebra lattice of A uniquely determines its (strong) subalgebra lattice. More precisely, for any algebra B of the same finite type, if the weak subalgebra lattices of A and B are isomorphic, then their subalgebra lattices are also isomorphic. Moreover, B is also total and locally finite.
hypergraph;strong and weak subalgebras;subalgebra lattices;partial algebra;
 Cited by
A STRONG PROPERTY OF THE WEAK SUBALGEBRA LATTICE FOR LOCALLY FINITE ALGEBRAS OF FINITE TYPE, International Journal of Algebra and Computation, 2013, 23, 01, 1  crossref(new windwow)
Subalgebra lattices of a partial unary algebra, Demonstratio Mathematica, 2012, 45, 4  crossref(new windwow)
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