Yılmaz Çeven, Zekiye Çiloğlu (2015)
Discussiones Mathematicae - General Algebra and Applications
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In this paper, using the notion of upper sets, we introduced the notions of complicated BE-Algebras and gave some related properties on complicated, self-distributive and commutative BE-algebras. In a self-distributive and complicated BE-algebra, characterizations of ideals are obtained.
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. ...
Naveen Kumar Kakumanu, Kar Ping Shum (2016)
Discussiones Mathematicae General Algebra and Applications
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In this paper, we prove that the class of P₂-Almost Distributive Lattices and Post Almost Distributive Lattices are equationally definable.
R. A. Herrmann (1979)
Matematički Vesnik
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J. Płonka (1968)
Fundamenta Mathematicae
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Jerzy Płonka, Werner Poguntke (1976)
Colloquium Mathematicae
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Priestley, H.A., Bordalo, G. (1992)
Portugaliae mathematica
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Swamy, U.Maddana, Manikyamba, P. (1980)
International Journal of Mathematics and Mathematical Sciences
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Bordalo, G. (1989)
Portugaliae mathematica
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W. A. J. Luxemburg (1968)
Colloquium Mathematicae
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William A. Lampe (1974)
Colloquium Mathematicae
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Karl Heinrich Hofmann, Francisco Javier Thayer
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CONTENTSIntroduction........................................................................................................................... 51. Finite-dimensional C*-algebras.................................................................................. 8 The objects...................................................................................................................... 8 The morphisms.................................................................................................................
David C. Feinstein (1975)
Colloquium Mathematicae
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G. Grätzer, H. Lakser (1988)
Colloquium Mathematicae
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Joanna Grygiel (2004)
Discussiones Mathematicae - General Algebra and Applications
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We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.