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  • A subset M of a given basic algebra is MP-closed if a ? M and a ? b ? M always imply b ? M for b ? a. We get a characterization of MP-closed subsets for commutative basic algebras in terms of closedness in the derived operation ?. If, moreover, the basic algebra is a chain, then a particular simple condition is derived. For basic algebras which are not commutative we derive only a closedness with respect to the deduction rule Modus Tollens.
  • A subset M of a given basic algebra is MP-closed if a ? M and a ? b ? M always imply b ? M for b ? a. We get a characterization of MP-closed subsets for commutative basic algebras in terms of closedness in the derived operation ?. If, moreover, the basic algebra is a chain, then a particular simple condition is derived. For basic algebras which are not commutative we derive only a closedness with respect to the deduction rule Modus Tollens. (en)
Title
  • MP-closed subsets in basic algebras
  • MP-closed subsets in basic algebras (en)
skos:prefLabel
  • MP-closed subsets in basic algebras
  • MP-closed subsets in basic algebras (en)
skos:notation
  • RIV/61989592:15310/12:33145756!RIV14-MSM-15310___
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  • S
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  • 04
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  • 152249
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  • RIV/61989592:15310/12:33145756
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  • MT-closed subset; MP-closed subset; CBA-chain; Commutative basic algebra; Basic algebra (en)
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  • SG - Singapurská republika
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  • [6AABEF81880C]
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  • Asian-European Journal of Mathematics
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  • 05
http://linked.open...iv/tvurceVysledku
  • Chajda, Ivan
  • Krňávek, Jan
issn
  • 1793-5571
number of pages
http://bibframe.org/vocab/doi
  • 10.1142/S1793557112500489
http://localhost/t...ganizacniJednotka
  • 15310
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