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Displaying 81 – 100 of 404

Decompositions in lattices and some representations of algebras [Book]

Andrzej Walendziak (2001)

Description combinatoire des ultramétriques

Bruno Leclerc (1981)

Mathématiques et Sciences Humaines

Descriptions of state spaces of orthomodular lattices (the hypergraph approach)

Mirko Navara (1992)

Mathematica Bohemica

Using the general hypergraph technique developed in [7], we first give a much simpler proof of Shultz's theorem [10]: Each compact convex set is affinely homeomorphic to the state space of an orthomodular lattice. We also present partial solutions to open questions formulated in [10] - we show that not every compact convex set has to be a state space of a unital orthomodular lattice and that for unital orthomodular lattices the state space characterization can be obtained in the context of unital...

Diamond identities for relative congruences

Gábor Czédli (1995)

Archivum Mathematicum

For a class $K$ of structures and $A \in K$ let ${C o n}^{*} (A)$ resp. ${C o n}^{K} (A)$ denote the lattices of $*$ -congruences resp. $K$ -congruences of $A$ , cf. Weaver [25]. Let ${C o n}^{*} (K) : = I {{C o n}^{*} (A) : A \in K}$ where $I$ is the operator of forming isomorphic copies, and ${C o n}^{r} (K) : = I {{C o n}^{K} (A) : A \in K}$ . For an ordered algebra $A$ the lattice of order congruences of $A$ is denoted by ${C o n}^{<} (A)$ , and let ${C o n}^{<} (K) : = I {{C o n}^{<} (A) : A \in K}$ if $K$ is a class of ordered algebras. The operators of forming subdirect squares and direct products are denoted by $Q^{s}$ and $P$ , respectively. Let $λ$ be a lattice identity and let $Σ$ be a set of lattice identities. Let $Σ ⊧_{c} λ (r; Q^{s}, P)$ denote...

Die Abgeschlossenheit der lexikographischen Summe in der Klasse modularer Verbände

Emil Slatinský (1984)

Archivum Mathematicum

Die Operationen in der Klasse komplementärer Verbände

Emil Slatinský (1994)

Mathematica Slovaca

Direct summands of Goldie extending elements in modular lattices

Rupal Shroff (2022)

Mathematica Bohemica

In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element $a$ of a lattice $L$ with $0$ is said to be a Goldie extending element if and only if for every $b \leq a$ there exists a direct summand $c$ of $a$ such that $b \land c$ is essential in both $b$ and $c$ . Some characterizations of decomposition of a Goldie extending element in a modular lattice are obtained.

Distinguishing subsets in lattices

Ivan Kopeček (1982)

Archivum Mathematicum

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 pairs in biatomic lattices.

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

Acta Mathematica Universitatis Comenianae. New Series

Distributive properties in semi-modular lattices.

S.P. Avann (1961)

Mathematische Zeitschrift

Distributivity in finitely generated orthomodular lattices

Ladislav Beran (1987)

Commentationes Mathematicae Universitatis Carolinae

Ein Assoziativitätskriterium vom Foulis-Holland-Typ.

Henner Kröger (1978)

Journal für die reine und angewandte Mathematik

Ein Beitrag zur Theorie der Orthogonalität auf Mengen

Zdeněk Rozenský (1979)

Časopis pro pěstování matematiky

Eine Systematisierung konvexer Vierecke der Ebene aus verbandstheoretischer Sicht

M. Stern, U. Siebert, M. Krötenheerdt (1986)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Einige Ergebnisse aus der Theorie der zyklisch erzeugten modularen Verbände

RICHTER, GERD (1979)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Éléments isotypiques dans les (T)-algèbres modulaires

Jacques Fort (1963/1964)

Séminaire Dubreil. Algèbre et théorie des nombres

Enumeration of Varlet and Comer hypergroups.

Aghabozorgi, H., Jafarpour, M., Davvaz, B. (2011)

The Electronic Journal of Combinatorics [electronic only]

Equational Bases for Lattice Theories.

Ralph McKenzie (1970)

Mathematica Scandinavica

Equipped graphs and modular lattices attached to them

V. A. Ponomarev (1990)

Banach Center Publications

Currently displaying 81 – 100 of 404

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