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

Open Mathematics (2004)

- Volume: 2, Issue: 2, page 199-217
- ISSN: 2391-5455

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topDana Piciu. "Pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients." Open Mathematics 2.2 (2004): 199-217. <http://eudml.org/doc/268710>.

@article{DanaPiciu2004,

abstract = {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.},

author = {Dana Piciu},

journal = {Open Mathematics},

keywords = {06D35; 03G25},

language = {eng},

number = {2},

pages = {199-217},

title = {Pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients},

url = {http://eudml.org/doc/268710},

volume = {2},

year = {2004},

}

TY - JOUR

AU - Dana Piciu

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

JO - Open Mathematics

PY - 2004

VL - 2

IS - 2

SP - 199

EP - 217

AB - 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.

LA - eng

KW - 06D35; 03G25

UR - http://eudml.org/doc/268710

ER -

## References

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- [2] D. Buşneag and D. Piciu: Meet-irreducible ideals in an MV-algebra, Analele Universitâţii din Craiova, Seria Matematica-Informatica, Vol. XXVIII, 2001, pp. 110–119. Zbl1058.06014
- [3] D. Buşneag and D. Piciu: “On the lattice of ideals of an MV-algebra”, Scientiae Mathematicae Japonicae, Vol. 56, No. 2, (2002), pp. 367–372, e6, pp. 221–226. Zbl1019.06004
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- [14] J. Lambek: Lectures on Rings and Modules, Blaisdell Publishing Company, 1966.
- [15] I. Leuştean: “Local Pseudo-MV algebras”, Soft Computing, Vol. 5, (2001), pp. 386–395. http://dx.doi.org/10.1007/s005000100141 Zbl0992.06011
- [16] D. Piciu: Pseudo-MV algebra of fractions relative to an λ-closed system, Analele Universitâţii din Craiova, Seria Matematica-Informatica, Vol. XXX, 2003, pp. 7–13.
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