Ideals, -rings and MV -algebras

Antonio Di Nola; George Georgescu

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 5, page 479-506
  • ISSN: 0232-0525

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Di Nola, Antonio, and Georgescu, George. "Ideals, $\ell $-rings and $\operatorname{MV}^\star $-algebras." Mathematica Slovaca 51.5 (2001): 479-506. <http://eudml.org/doc/31719>.

@article{DiNola2001,
author = {Di Nola, Antonio, Georgescu, George},
journal = {Mathematica Slovaca},
keywords = {MV*-algebra; MV-algebra; -ideal; -ring; categorical equivalence},
language = {eng},
number = {5},
pages = {479-506},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Ideals, $\ell $-rings and $\operatorname\{MV\}^\star $-algebras},
url = {http://eudml.org/doc/31719},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Di Nola, Antonio
AU - Georgescu, George
TI - Ideals, $\ell $-rings and $\operatorname{MV}^\star $-algebras
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 5
SP - 479
EP - 506
LA - eng
KW - MV*-algebra; MV-algebra; -ideal; -ring; categorical equivalence
UR - http://eudml.org/doc/31719
ER -

References

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  3. BELLUCE L. P.-DI NOLA A., Yosida type representation for perfect MV-algebras, Mаth. Lоgic Quаrt. 42 (1996), 551-563. (1996) MR1417846
  4. BELLUCE L. P.-DI NOLA A.-GEORGESCU G., Perfect MV-algebras and l-rings, (Tо аppeаr). 
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  7. DI NOLA A.-LETTIERI A., Perfect MV-algebras are equivalent to abelian l-groups, Studiа Lоgicа 53 (1994), 417-432. (1994) MR1302453
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  9. ЈOHNSTONE P. T., Stone Spaces, Cаmbridge Univ. Press, Cаmbridge, 1982. (1982) 
  10. LARSON S., Convexity conditions on f-rings, Cаnаd. Ј. Mаth. 38 (1986), 48-64. (1986) Zbl0588.06011MR0835035
  11. LARSON S., Pseudoprime l-ideals in a class of f-rings, Prоc. Amer. Mаth. Sоc. 104 (1988), 685-692. (1988) MR0964843
  12. LARSON S., Minimal convex extensions and intersections of primary l-ideals in f-rings, Ј. Algebrа 123 (1989), 99-110. (1989) MR1000478
  13. LARSON S., Sums of semiprime, z and l-ideals in a class of f-rings, Prоc. Amer. Mаth. Sоc. 109 (1990), 895-901. (1990) MR1015682
  14. LARSON S., Primary l-ideals in a class of f-rings, Comm. Algebra 20 (1992), 2075-2094. (1992) MR1167089
  15. LARSON S., Square dominated l-ideals and l-products and sums of semiprime l-ideals in f-rings, Comm. Algebra 20 (1992), 2095-2112. (1992) MR1167090

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