On -algebras
Joseph Neggers, Hee Sik Kim (2002)
Mathematica Slovaca
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Joseph Neggers, Hee Sik Kim (2002)
Mathematica Slovaca
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Schochet, C.L. (1999)
The New York Journal of Mathematics [electronic only]
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Charles Pinter (1973)
Fundamenta Mathematicae
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Abd El-Mohsen Badawy, Daniela Guffová, Miroslav Haviar (2012)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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A simple triple construction of principal MS-algebras is given which is parallel to the construction of principal -algebras from principal triples presented by the third author in [Haviar, M.: Construction and affine completeness of principal p-algebras Tatra Mountains Math. 5 (1995), 217–228.]. It is shown that there exists a one-to-one correspondence between principal MS-algebras and principal MS-triples. Further, a triple construction of a class of decomposable MS-algebras that includes...
Schick, Thomas (2004)
Algebraic & Geometric Topology
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Haviar, Miroslav (1994)
Portugaliae Mathematica
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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...