Magari theorem
From Encyclopedia of Mathematics
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The assertion that every variety of universal algebras with a non-trivial member contains also a member whose lattice of congruences is $2$-element. Such universal algebras are called congruence-simple or simple [a1] (see also Universal algebra).
References
| [a1] | S. Burris, H.P. Sankappanavar, "A course in universal algebra" , Springer (1981) Zbl 0478.08001 |
| [a2] | R. Magari, "Una dimonstrazione del fatto che ogni varietà ammette algebre semplici" Ann. Univ. Ferrara Sez. VII (N.S.) , 14 (1969) pp. 1–4 DOI 10.1007/BF02896794 Zbl 0247.08016 |
| [a3] | B. Csákány, "Magari via Malcev" Algebra Universalis , 36 (1996) pp. 421–422 DOI 10.1007/BF01236767 Zbl 0901.08008 |
How to Cite This Entry:
Magari theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Magari_theorem&oldid=43016
Magari theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Magari_theorem&oldid=43016
This article was adapted from an original article by A. Muravitsky (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article