Some types of implicative ideals
Beran, Ladislav
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 219-225 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

This paper studies basic properties for five special types of implicative ideals (modular, pentagonal, even, rectangular and medial). The results are used to prove characterizations of modularity and distributivity.

Publié le : 1998-01-01
Classification:  06B10,  06C05,  06C99,  06D05,  06D99 
@article{119001,
     author = {Ladislav Beran},
     title = {Some types of implicative ideals},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {219-225},
     zbl = {0938.06004},
     mrnumber = {1651930},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119001}
}

Beran, Ladislav. Some types of implicative ideals. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 219-225. http://gdmltest.u-ga.fr/item/119001/

Beran L. On semiprime ideals in lattices, Journ. Pure Appl. Algebra 64 (1990), 223-227. (1990) | MR 1061299 | Zbl 0703.06003

Beran L. Orthomodular Lattices (Algebraic Approach), Reidel Dordrecht (1985). (1985) | MR 0784029 | Zbl 0558.06008

Beran L.; Salvati S. Boolean algebras revisited, Boll. Unione Matem. Italiana, ser. VII, 9 (sez. B) (1997), 895-901. | MR 1491733 | Zbl 0895.06007

Rav Y. Semiprime ideals in general lattices, Journ. Pure Appl. Algebra 56 (1989), 105-118. (1989) | MR 0979666 | Zbl 0665.06006

Salvati S. A characterization of Boolean algebras, Ricerche di Matematica 43 (1994), 357-363. (1994) | MR 1324757 | Zbl 0915.06005

Zassenhaus H. The Theory of Groups, (2nd ed.), Vandenhoeck & Ruprecht Göttingen (1958). (1958) | MR 0091275 | Zbl 0083.24517