Bounded endomorphisms of free P-algebras
Keyword(s):
The present note deals with bounded endomorphisms of free p-algebras (pseudocomplemented lattices). The idea of bounded homomorphisms was introduced by R. McKenzie in [8]. T. Katriňák [5] subsequently studied the properties of bounded homomorphisms for the varieties of p-algebras. This concept is also an efficient tool for the characterization of, so-called, splitting as well as projective algebras in the varieties of all lattices or p-algebras. For details the reader is referred to [2], [5], [6], [7] and other references therein. Let us emphasize that the main results that are contained in the above mentioned references strongly depend on the boundedness of each endomorphism of any finitely generated free algebra in a given variety.
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2003 ◽
Vol 31
(9)
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pp. 4195-4214
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1980 ◽
Vol 32
(1)
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pp. 27-33
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2013 ◽
Vol 57
(2)
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pp. 323-338
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1997 ◽
Vol 25
(4)
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pp. 1159-1168
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