Tensor products of semilattices and distributive lattices.
G.A. Fraser (1976/77)
Semigroup forum
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G.A. Fraser (1976/77)
Semigroup forum
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Tapas Kumar Mondal, Anjan Kumar Bhuniya (2013)
Discussiones Mathematicae - General Algebra and Applications
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We introduce the k-radicals of Green's relations in semirings with a semilattice additive reduct, introduce the notion of left k-regular (right k-regular) semirings and characterize these semirings by k-radicals of Green's relations. We also characterize the semirings which are distributive lattices of left k-simple subsemirings by k-radicals of Green's relations.
Jerzy Płonka, Werner Poguntke (1976)
Colloquium Mathematicae
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M.S. Putcha (1981)
Semigroup forum
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G. Grätzer, H. Lakser (1969)
Colloquium Mathematicae
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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.
G. Szász (1970)
Colloquium Mathematicae
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J.W. jr. Lea (1976/77)
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J. Płonka (1968)
Fundamenta Mathematicae
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G. Song (1995)
Semigroup forum
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R. E. Jamison (1977/78)
Semigroup forum
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Ivan Chajda (2003)
Commentationes Mathematicae Universitatis Carolinae
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We study -semilattices and lattices with the greatest element 1 where every interval [p,1] is a lattice with an antitone involution. We characterize these semilattices by means of an induced binary operation, the so called sectionally antitone involution. This characterization is done by means of identities, thus the classes of these semilattices or lattices form varieties. The congruence properties of these varieties are investigated.