EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 10 Next

Displaying 181 – 200 of 738

Direct product decomposition of $M V$ -algebras

Ján Jakubík (1994)

Czechoslovak Mathematical Journal

Direct product decompositions of bounded commutative residuated $ℓ$ -monoids

Ján Jakubík (2008)

Czechoslovak Mathematical Journal

The notion of bounded commutative residuated $ℓ$ -monoid ( $B C R$ $ℓ$ -monoid, in short) generalizes both the notions of $M V$ -algebra and of $B L$ -algebra. Let $A ̧$ be a $B C R$ $ℓ$ -monoid; we denote by $ℓ (A ̧)$ the underlying lattice of $A ̧$ . In the present paper we show that each direct...

Direct product decompositions of infinitely distributive lattices

Ján Jakubík (2000)

Mathematica Bohemica

Let $α$ be an infinite cardinal. Let $𝒯_{α}$ be the class of all lattices which are conditionally $α$ -complete and infinitely distributive. We denote by $𝒯_{σ}^{'}$ the class of all lattices $X$ such that $X$ is infinitely distributive, $σ$ -complete and has the least element. In this paper we deal with direct factors of lattices belonging to $𝒯_{α}$ . As an application, we prove a result of Cantor-Bernstein type for lattices belonging to the class $𝒯_{σ}^{'}$ .

Direct product decompositions of pseudo effect algebras

Ján Jakubík (2005)

Mathematica Slovaca

Direct product decompositions of pseudo $M V$ -algebras

Ján Jakubík (2001)

Archivum Mathematicum

In this paper we deal with the relations between the direct product decompositions of a pseudo $M V$ -algebra and the direct product decomposicitons of its underlying lattice.

Direct product factors in GMV-algebras

Jiří Rachůnek, Dana Šalounová (2005)

Mathematica Slovaca

Direct products of weak homomorphisms

Ivan Chajda (1976)

Archivum Mathematicum

Direct summands and retract mappings of generalized $M V$ -algebras

Ján Jakubík (2008)

Czechoslovak Mathematical Journal

In the present paper we deal with generalized $M V$ -algebras ( $G M V$ -algebras, in short) in the sense of Galatos and Tsinakis. According to a result of the mentioned authors, $G M V$ -algebras can be obtained by a truncation construction from lattice ordered groups. We investigate direct summands and retract mappings of $G M V$ -algebras. The relations between $G M V$ -algebras and lattice ordered groups are essential for this investigation.

Directoids with sectionally antitone involutions and skew MV-algebras

Ivan Chajda, Miroslav Kolařík (2007)

Mathematica Bohemica

It is well-known that every MV-algebra is a distributive lattice with respect to the induced order. Replacing this lattice by the so-called directoid (introduced by J. Ježek and R. Quackenbush) we obtain a weaker structure, the so-called skew MV-algebra. The paper is devoted to the axiomatization of skew MV-algebras, their properties and a description of the induced implication algebras.

Distinguished extensions of an $M V$ -algebra

Ján Jakubík (1999)

Czechoslovak Mathematical Journal

Distributive lattices have the intersection property

Henri Mühle (2021)

Mathematica Bohemica

Distributive lattices form an important, well-behaved class of lattices. They are instances of two larger classes of lattices: congruence-uniform and semidistributive lattices. Congruence-uniform lattices allow for a remarkable second order of their elements: the core label order; semidistributive lattices naturally possess an associated flag simplicial complex: the canonical join complex. In this article we present a characterization of finite distributive lattices in terms of the core label order...

Distributive lattices whose congruence lattice is Stone.

Heleyová, Z. (1995)

Acta Mathematica Universitatis Comenianae. New Series

Distributive lattices with a given skeleton

Joanna Grygiel (2004)

Discussiones Mathematicae - General Algebra and Applications

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.

Distributive lattices with an additional unary operation.

Joel Berman (1977)

Aequationes mathematicae

Distributive lattices with an additional unary operation. (Short Communication).

Joel Berman (1977)

Aequationes mathematicae

Distributive pairs in biatomic lattices.

Waphare, B.N., Joshi, V.V. (2004)

Acta Mathematica Universitatis Comenianae. New Series

Distributivität des $l$ -Untergruppenverbandes einer Verbandsgruppe

Mária Jakubíková (1975)

Matematický časopis

Distributivity of bounded lattices with sectionally antitone involutions

Ivan Chajda (2005)

Discussiones Mathematicae - General Algebra and Applications

We present a simple condition under which a bounded lattice L with sectionally antitone involutions becomes an MV-algebra. In thiscase, L is distributive. However, we get a criterion characterizingdistributivity of L in terms of antitone involutions only.

DMF-algebras: representation and topological characterization

Maurizio Negri (1998)

Bollettino dell'Unione Matematica Italiana

Gli insiemi parziali sono coppie $(A, B)$ di sottoinsiemi di $X$ , dove $A \cap B \neq 0$ . Gli insiemi parziali su $X$ costituiscono una DMF-algebra, ossia un'algebra di De Morgan in cui la negazione ha un solo punto fisso. Dimostriamo che ogni DMF-algebra è isomorfa a un campo di insiemi parziali. Utilizzando gli insiemi parziali su $X$ come aperti, introduciamo il concetto di spazio topologico parziale su $X$ . Infine associamo ad ogni DMF-algebra $A$ uno spazio topologico parziale i cui clopen compatti costituiscono un campo d'insiemi...

Double $p$ -algebras with Stone congruence lattices

Michael E. Adams, Rodney Beazer (1991)

Czechoslovak Mathematical Journal

Currently displaying 181 – 200 of 738

Previous Page 10 Next