Connections between ideals of non-commutative generalizations of -algebras and ideals of their underlying lattices
Jiří Rachůnek (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Jiří Rachůnek (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Juhani Nieminen (1978)
Colloquium Mathematicae
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Roberto Giuntini (1997)
Mathware and Soft Computing
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We introduce the notion of p-ideal of a QMV-algebra and we prove that the class of all p-ideals of a QMV-algebra M is in one-to-one correspondence with the class of all congruence relations of M.
Radomír Halaš, Luboš Plojhar (2005)
Open Mathematics
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We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels.
Wiesław Aleksander Dudek, Xiaohong Zhang (1998)
Czechoslovak Mathematical Journal
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We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences.
Dudek, Wiesław A., Jun, Young Bae (2005)
International Journal of Mathematics and Mathematical Sciences
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