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Zelinka, Bohdan
Tolerances on poset algebras. (English). Mathematica Bohemica, vol. 117 (1992), issue 1, pp. 93-97
MSC: 06A06, 06A10, 08A30, 20L05, 20N02 | MR 1154058 | Zbl 0765.06004 | DOI: 10.21136/MB.1992.126238
Keywords:
principal congruences; poset algebra; commutative groupoid; principal tolerances; partiallz ordered set; tolerance; congruence
Summary:
To everz partiallz ordered set a certain groupoid is assigned. A tolerance on it is defined similarlz as a congruence, onlz the requirement of transitivitz is omitted. Some theorems concerning these tolerances are proved.
References:
[1] McNulty G. F., Shallon C. R.: Inherently nonfìnitely based fìnite algebras. Lecture Notes Math., vol. 1004, 1983, pp. 206-231. DOI 10.1007/BFb0063439 | MR 0716184 | Zbl 0513.08003
[2] Pöschel R.: Graph vaгieties. Preprint, Institut der Mathematik, Akad. Wiss. DDR, Berlin, 1985.
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