Results 41 to 50 of about 222 (59)

A survey of recent results on congruence lattices of lattices [PDF]

, 2005
We review recent results on congruence lattices of (infinite) lattices. We discuss results obtained with box products, as well as categorical, ring-theoretical, and topological ...
Tuma, Jiri, Wehrung, Friedrich
core  

A uniform refinement property for congruence lattices

, 2005
The Congruence Lattice Problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of a lattice. It was hoped that a positive solution would follow from E. T. Schmidt's construction or from the approach of P. Pudlak,
Wehrung, Friedrich
core  

On Fuzzy Ideals of Subtraction Algebras

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2013
: In this paper, we introduce the notion of fuzzy interior ideal, fuzzy bi-ideal, intuitionistic fuzzy interior ideal and intuitionistic fuzzy bi-ideal of a subtraction semigroup.
Yılmaz Çeven, Zekiye Çiloğlu
doaj  

Congruence lattices of free lattices in non-distributive varieties

, 2005
We prove that for any free lattice F with at least $\aleph\_2$ generators in any non-distributive variety of lattices, there exists no sectionally complemented lattice L with congruence lattice isomorphic to the one of F.
Ploscica, Miroslav, Tuma, Jiri, Wehrung, Friedrich   +2 more
core  

Orthopseudorings and congruences on distributive lattice with dual weak complementation. [PDF]

Heliyon, 2023
Rezk EG.
europepmc   +1 more source

On lattices and their ideal lattices, and posets and their ideal posets

, 2008
For P a poset or lattice, let Id(P) denote the poset, respectively, lattice, of upward directed downsets in P, including the empty set, and let id(P)=Id(P)-\{\emptyset\}.
Bergman, George M.
core   +2 more sources

Congruence amalgamation of lattices

, 2005
J. Tuma proved an interesting "congruence amalgamation" result. We are generalizing and providing an alternate proof for it. We then provide applications of this result: --A.P.
Grätzer, George, Lakser, Harry, Wehrung, Friedrich   +2 more
core  

Prime ideals in 0-distributive posets

Open Mathematics, 2013
Joshi Vinayak, Mundlik Nilesh
doaj   +1 more source

Quantum complex projective spaces from Toeplitz cubes

, 2012
P. M. Hajac, A. Kaygun, B. Zielinski
semanticscholar   +1 more source

FUZZY SOFT PRIME IDEALS OVER RIGHT TERNARY NEAR-RINGS

, 2013
A. Maheswari, C. Meera
semanticscholar   +1 more source