Results 311 to 320 of about 743,469 (374)
Some of the next articles are maybe not open access.
Coproducts of distributive lattice-based algebras
, 2013This paper presents a systematic study of coproducts. This is carried out principally, but not exclusively, for finitely generated quasivarieties $${{\bf \mathcal{A}}}$$A that admit a (term) reduct in the variety $${{\bf \mathfrak{D}}}$$D of bounded ...
L. Cabrer, H. Priestley
semanticscholar +1 more source
BL-ALMOST DISTRIBUTIVE LATTICES
Asian-European Journal of Mathematics, 2012The concept of BL-almost distributive lattice (BL-ADL) is introduced and necessary and sufficient conditions for an ADL to become a BL-ADL are derived. Different characterizations of a BL-ADL are obtained.
Rao, G. C., Kakumanu, Naveen Kumar
openaire +2 more sources
Finite Projective Distributive Lattices
Canadian Mathematical Bulletin, 1970The theorem stated below is due to R. Balbes. The present proof is direct; it uses only the following two well-known facts: (i) Let K be a category of algebras, and let free algebras exist in K; then an algebra is projective if and only if it is a retract of a free algebra, (ii) Let F be a free distributive lattice with basis {xi | i ∊ I}; then ∧(xi ...
Grätzer, G., Wolk, B.
openaire +2 more sources
Valuations on Distributive Lattices II
Archiv der Mathematik, 1973In Parts I and II [Arch. Math. 24, 230–239, 337–345 (1973)] we were principally interested in combinatorial applications of the valuation ring of a distributive lattice. We now show how this ring provides a natural setting for some elementary results in measure theory as well as some classical results on representations of distributive lattices ...
openaire +1 more source
L-ALMOST DISTRIBUTIVE LATTICES
Asian-European Journal of Mathematics, 2011In this paper, we introduce the concept of an L-Almost Distributive Lattice (L-ADL) as a generalization of an L-algebra in the class of ADLs. We characterize an L-ADL in terms of the set of all its principal ideals. We also give a number of equivalent conditions for an L-ADL to become an L-algebra.
Rao, G. C., Assaye, Berhanu, Prasad, R.
openaire +2 more sources
Distributive PBZ$$^{*}$$-lattices
Studia LogicazbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Logic Journal of IGPL, 2007
The purpose of this paper is to investigate the variety of algebras, which we call monadic distributive lattices, as a natural generalization of monadic Heyting algebras [16]. It is worth mentioning that the latter is a proper subvariety of the first one, as it is shown in a simple example.
A. V. Figallo, I. Pascual, A. Ziliani
openaire +1 more source
The purpose of this paper is to investigate the variety of algebras, which we call monadic distributive lattices, as a natural generalization of monadic Heyting algebras [16]. It is worth mentioning that the latter is a proper subvariety of the first one, as it is shown in a simple example.
A. V. Figallo, I. Pascual, A. Ziliani
openaire +1 more source
Studia Logica, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Endoprimal distributive lattices
Algebra Universalis, 1993Primal algebras have been generalized in various ways. Many of these generalized notions are defined by requiring that every function which is compatible with some kind of related structures of the algebra (e.g., subalgebras, congruences, automorphisms, isomorphisms between subalgebras) must be a term function.
Márki, L., Pöschel, R.
openaire +1 more source
Axiomatique Des Lattices Distributives
Canadian Journal of Mathematics, 1951Cette note a pour principal objet de répondre à deux questions posées par G. Birkhoff. Théorème 1. Les lattices distributives avec O et I sont exactement les systèmes algébriques avec une opération ternaire (a, b, c) et des éléments O et I tels que: (1.1) (O, a, I) =
openaire +2 more sources