Compact elements of the lattice of congruences in an algebra

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Lattice of Congruences in Many Sorted Algebra

For simplicity we adopt the following convention: I, X denote sets, M denotes a many sorted set indexed by I, R1 denotes a binary relation on X, and E1, E2, E3 denote equivalence relations of X. We now state the proposition (1) (E1 ⊔ E2) ⊔ E3 = E1 ⊔ (E2 ⊔ E3). Let X be a set and let R be a binary relation on X. The functor EqCl(R) yielding an equivalence relation of X is defined as follows: (De...

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ژورنال

عنوان ژورنال: Časopis pro pěstování matematiky

سال: 1977

ISSN: 0528-2195

DOI: 10.21136/cpm.1977.108462