Subdirectly irreducible generalized sums of upper semilattice ordered systems of algebras |
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| Authors: | J Płonka Z Szylicka |
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| Institution: | (1) Mathematical Institute of the Polish Academy of Sciences, ul. Kopernika 18, 51-617 Wroclaw, Poland, PL;(2) Institute of Mathematics, Technical University of Opole, ul. Luboszycka 3, 45-036 Opole, Poland, email:zszyl@polo.po.opole.pl, PL |
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| Abstract: | In 15] the generalized sum of an upper (F
1
, F
2
)-semilattice ordered system of algebras was defined. In this paper we find necessary and sufficient conditions under which
this construction yields subdirectly irreducible algebras.
Received March 3, 2000; accepted in final form June 14, 2001. |
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| Keywords: | and phrases: Subdirectly irreducible algebra supalgebra F2-supalgebra Wojtunik sum |
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