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principal congruences; poset algebra; commutative groupoid; principal tolerances; partiallz ordered set; tolerance; congruence
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.
[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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