Previous |  Up |  Next

Article

Keywords:
ideal; Rees congruence; one-block congruence; Rees algebra
Summary:
We describe algebras and varieties for which every ideal is a kernel of a one-block congruence.
References:
[1] Chajda I., Duda J.: Rees algebras and their varieties. Publ. Math. (Debrecen) 32 (1985), 17-22. MR 0810586 | Zbl 0582.08003
[2] Duda J.: Rees sublattices of a lattice. Publ. Math. (Debrecen) 35 (1988), 77-82. MR 0971955 | Zbl 0657.06010
[3] Rees D.: On semigroups. Proc. Cambridge Phil. Soc. 36 (1940), 387-400. MR 0002893
[4] Szász G.: Rees factor lattices. Publ. Math. (Debrecen) 15 (1968), 259-266. MR 0234876
[5] Tichy R. F.: The Rees congruences in universal algebras. Publ. Inst. Math. (Beograd) 29 (1981), 229-239. MR 0657112
[6] Ursini A.: Sulla varietá di algebra con una buona teoria degli ideali. Boll. U. M. I. (4) 6 (1972), 90-95. MR 0314728
Partner of
EuDML logo