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Pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients

100%

Piciu D.

Open Mathematics

2004

tom 2

nr 2

199-217

The aim of this paper is to define the notions of pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients for a pseudo-MV algebra (taking as a guide-line the elegant construction of complete ring of quotients by partial morphisms introduced by G. Findlay and J. Lambek-see [14], p.36). For some informal explanations of the notion of fraction see [14], p. 37. In the last part of this paper the existence of the maximal pseudo-MV algebra of quotients for a pseudo-MV algebra (Theorem 4.5) is proven and I give explicit descriptions of this MV-algebra for some classes of pseudo MV-algebras.

On the lattice of deductive systems of a BL-algebra

63%

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

2 Open Mathematics

2 Piciu D.

1 Bu§neag D.

1 2004

1 2003

Wyniki wyszukiwania

Pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients

On the lattice of deductive systems of a BL-algebra