On a certain construction of MS-algebras.
Haviar, Miroslav (1994)
Portugaliae Mathematica
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Haviar, Miroslav (1994)
Portugaliae Mathematica
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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...
Leonardo Cabrer, Sergio Celani (2006)
Open Mathematics
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In this work we give a duality for many classes of lattice ordered algebras, as Integral Commutative Distributive Residuated Lattices MTL-algebras, IMTL-algebras and MV-algebras (see page 604). These dualities are obtained by restricting the duality given by the second author for DLFI-algebras by means of Priestley spaces with ternary relations (see [2]). We translate the equations that define some known subvarieties of DLFI-algebras to relational conditions in the associated DLFI-space. ...
Rodney Beazer (1985)
Czechoslovak Mathematical Journal
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Beazer, R. (1993)
Portugaliae mathematica
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Celani, Sergio Arturo (2006)
International Journal of Mathematics and Mathematical Sciences
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Priestley, H.A., Bordalo, G. (1992)
Portugaliae mathematica
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