Characterizations of the $0$-distributive semilattice
نویسندگان
چکیده
منابع مشابه
Characterizations of the 0-distributive Semilattice
The 0-distributive semilattice is characterized in terms of semiideals, ideals and filters. Some sufficient conditions and some necessary conditions for 0-distributivity are obtained. Counterexamples are given to prove that certain conditions are not necessary and certain conditions are not sufficient.
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The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2003
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2003.134177