The Lattice of all Systems of -Ideals in a Set
Judita Lihová (1972)
Matematický časopis
Grätzer, G., Schmidt, E.T. (1995)
Beiträge zur Algebra und Geometrie
Josef Niederle (1980)
Archivum Mathematicum
Melvin F. Janowitz (1986)
Czechoslovak Mathematical Journal
Ivan Chajda, Bohdan Zelinka (1979)
Czechoslovak Mathematical Journal
Ivan Chajda, Juhani Nieminen, Bohdan Zelinka (1983)
Archivum Mathematicum
George Grätzer, Günter H. Wenzel (1989)
Archivum Mathematicum
Melvin F. Janowitz (1994)
Czechoslovak Mathematical Journal
Ivan Chajda (1996)
Czechoslovak Mathematical Journal
Hans-Jürgen Bandelt (1983)
Archivum Mathematicum
František Šik (1981)
Mathematica Slovaca
Mária Jakubíková (1978)
Czechoslovak Mathematical Journal
P.V. Ramana Murty, V. Raman (1982)
Mathematica Slovaca
Bozić, Milan (1980)
Publications de l'Institut Mathématique. Nouvelle Série
Jana Ryšlinková, Teo Sturm (1982)
Banach Center Publications
Ulrich Faigle (1980)
Aequationes mathematicae
Ke Yun Qin, Yang Xu, Young Bae Jun (2002)
Czechoslovak Mathematical Journal
We define an ultra -ideal of a lattice implication algebra and give equivalent conditions for an -ideal to be ultra. We show that every subset of a lattice implication algebra which has the finite additive property can be extended to an ultra -ideal.
Xiaohong Zhang, Ke Yun Qin, Wiesław Aleksander Dudek (2007)
Czechoslovak Mathematical Journal
A mistake concerning the ultra -ideal of a lattice implication algebra is pointed out, and some new sufficient and necessary conditions for an -ideal to be an ultra -ideal are given. Moreover, the notion of an -ideal is extended to -algebras, the notions of a (prime, ultra, obstinate, Boolean) -ideal and an -ideal of an -algebra are introduced, some important examples are given, and the following notions are proved to be equivalent in -algebra: (1) prime proper -ideal and Boolean -ideal,...
Zdeněk Rozenský (1979)
Časopis pro pěstování matematiky
Judita Lihová (2006)
Mathematica Slovaca