The prime filter theorem of lattice implication algebras.
Jun, Young Bae (2001)
International Journal of Mathematics and Mathematical Sciences
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Jun, Young Bae (2001)
International Journal of Mathematics and Mathematical Sciences
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Jun, Young Bae (2000)
International Journal of Mathematics and Mathematical Sciences
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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...
Ivan Chajda, Radomír Halaš, Josef Zedník (1998)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Cogan, Eva (2009)
International Journal of Mathematics and Mathematical Sciences
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Francis Borceux, Maria-Cristina Pedicchio (1989)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Jun, Young Bae, Lianzhen, Liu (2006)
International Journal of Mathematics and Mathematical Sciences
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Y. B. Jun, Yang Xu (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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As a generalization of filters in lattice implication algebras, the notion of rough filters in lattice implication algebras is introduced, and some of their properties are considered.