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.
Liviu-Constantin Holdon (2018)
Kybernetika
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In this paper, we introduce a new class of residuated lattices called De Morgan residuated lattices, we show that the variety of De Morgan residuated lattices includes important subvarieties of residuated lattices such as Boolean algebras, MV-algebras, BL-algebras, Stonean residuated lattices, MTL-algebras and involution residuated lattices. We investigate specific properties of ideals in De Morgan residuated lattices, we state the prime ideal theorem and the pseudo-complementedness...
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.