On the ideals' extension theorem and its equivalence to the axiom of choice
S. Mrówka (1956)
Fundamenta Mathematicae
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S. Mrówka (1956)
Fundamenta Mathematicae
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Francis Borceux, Maria-Cristina Pedicchio (1989)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Zdeněk Frolík (1972)
Commentationes Mathematicae Universitatis Carolinae
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Biao Long Meng, Xiao Long Xin (2015)
Open Mathematics
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In BL-algebras we introduce the concept of generalized co-annihilators as a generalization of coannihilator and the set of the form x-1F where F is a filter, and study basic properties of generalized co-annihilators. We also introduce the notion of involutory filters relative to a filter F and prove that the set of all involutory filters relative to a filter with respect to the suit operations is a complete Boolean lattice and BL-algebra. We use the technology of generalized co-annihilators...
Kyriakos Keremedis, Eleftherios Tachtsis (1999)
Commentationes Mathematicae Universitatis Carolinae
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We show that the statement CCFC = “” is equivalent to the CMC and, the axiom of choice AC is equivalent to the statement CFE = “”. We also show that AC is equivalent to each of the assertions: “”, “” and “”.
Jun, Young Bae, Lianzhen, Liu (2006)
International Journal of Mathematics and Mathematical Sciences
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