Ideals, $\ell $-rings and $\operatorname {MV}^\star $-algebras
Mathematica slovaca, Tome 51 (2001) no. 5, pp. 479-506
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Di Nola, Antonio; Georgescu, George. Ideals, $\ell $-rings and $\operatorname {MV}^\star $-algebras. Mathematica slovaca, Tome 51 (2001) no. 5, pp. 479-506. http://geodesic.mathdoc.fr/item/MASLO_2001_51_5_a0/

[1] ANDERSON F. W.: On f-rings with the ascending chain condition. Prоc. Amer. Mаth. Sоc. 13 (1962), 715-721. | MR | Zbl

[2] BELLUCE L. P.: Spectral space and non-commutative rings. Cоmm. Algebrа 19 (1991), 1855-1866.

[3] BELLUCE L. P.-DI NOLA A.: Yosida type representation for perfect MV-algebras. Mаth. Lоgic Quаrt. 42 (1996), 551-563. | MR

[4] BELLUCE L. P.-DI NOLA A.-GEORGESCU G.: Perfect MV-algebras and l-rings. (Tо аppeаr).

[5] BIGARD A.-KEIMEL K.-WOLFENSTEIN S.: Groupes et anneaux réticulés. Lectuгe Nоtes in Mаth. 608, Springer-Verlаg, New Yоrk, 1971.

[6] CIGNOLI R.-D'OTTAVIANO I. M. L.-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning. Kluwer Acаdemic Publishers, Dоrdrecht-Bоstоn-Lоndоn, 2000. | MR | Zbl

[7] DI NOLA A.-LETTIERI A.: Perfect MV-algebras are equivalent to abelian l-groups. Studiа Lоgicа 53 (1994), 417-432. | MR

[8] HENRIKSEN M.: Semiprime ideals of f-rings. Sympоs. Mаth. 21 (1977), 401-404. | MR | Zbl

[9] ЈOHNSTONE P. T.: Stone Spaces. Cаmbridge Univ. Press, Cаmbridge, 1982.

[10] LARSON S.: Convexity conditions on f-rings. Cаnаd. Ј. Mаth. 38 (1986), 48-64. | MR | Zbl

[11] LARSON S.: Pseudoprime l-ideals in a class of f-rings. Prоc. Amer. Mаth. Sоc. 104 (1988), 685-692. | MR

[12] LARSON S.: Minimal convex extensions and intersections of primary l-ideals in f-rings. Ј. Algebrа 123 (1989), 99-110. | MR

[13] LARSON S.: Sums of semiprime, z and l-ideals in a class of f-rings. Prоc. Amer. Mаth. Sоc. 109 (1990), 895-901. | MR

[14] LARSON S.: Primary l-ideals in a class of f-rings. Comm. Algebra 20 (1992), 2075-2094. | MR

[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. | MR