On B-algebras
J. Neggers, Hee Sik Kim (2002)
Matematički Vesnik
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J. Neggers, Hee Sik Kim (2002)
Matematički Vesnik
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Ivan Chajda, Helmut Länger (2017)
Mathematica Bohemica
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States on commutative basic algebras were considered in the literature as generalizations of states on MV-algebras. It was a natural question if states exist also on basic algebras which are not commutative. We answer this question in the positive and give several examples of such basic algebras and their states. We prove elementary properties of states on basic algebras. Moreover, we introduce the concept of a state-morphism and characterize it among states. For basic algebras which...
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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Daniel W. Stroock (1976)
Colloquium Mathematicae
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Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Cedilnik, A. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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G. Grätzer, J. Sichler (1974)
Colloquium Mathematicae
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Marcus Tressl (2002)
Banach Center Publications
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Kazimierz Urbanik (1969)
Colloquium Mathematicum
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T. P. Speed (1971)
Colloquium Mathematicae
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Rost, Markus (1996)
Documenta Mathematica
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Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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Noriaki Kamiya, Daniel Mondoc, Susumu Okubo (2011)
Banach Center Publications
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In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.
R. Beazer (1974)
Colloquium Mathematicae
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