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Folding theory applied to BL-algebras

100%

Jun Y., Ko J.

Open Mathematics

2004

tom 2

nr 4

584-592

The notion of n-fold grisly deductive systems is introduced. Some conditions for a deductive system to be an n-fold grisly deductive system are provided. Extension property for n-fold grisly deductive system is established.

Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras

84%

Cabrer L., Celani S.

Open Mathematics

2006

tom 4

nr 4

600-623

In this work we give a duality for many classes of lattice ordered algebras, as Integral Commutative Distributive Residuated Lattices MTL-algebras, IMTL-algebras and MV-algebras (see page 604). These dualities are obtained by restricting the duality given by the second author for DLFI-algebras by means of Priestley spaces with ternary relations (see [2]). We translate the equations that define some known subvarieties of DLFI-algebras to relational conditions in the associated DLFI-space.

On the lattice of deductive systems of a BL-algebra

84%

Bu§neag D., Piciu D.

Open Mathematics

2003

tom 1

nr 2

221-237

For a BL-algebra A we denote by Ds(A) the lattice of all deductive systems of A. The aim of this paper is to put in evidence new characterizations for the meet-irreducible elements on Ds(A). Hyperarchimedean BL-algebras, too, are characterized.

Ograniczanie wyników

3 Open Mathematics

1 Bu§neag D.

1 Cabrer L.

1 Celani S.

1 Jun Y.

1 Ko J.

1 Piciu D.

1 2006

1 2004

1 2003

Wyniki wyszukiwania

Folding theory applied to BL-algebras

Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras

On the lattice of deductive systems of a BL-algebra