97᎐108 proved a much stronger result, the strong independence of the automorphism group and the congruence lattice in the finite case. In this paper, we provide a full affirmative solution of the above problem. In fact, we prove much stronger results, verifying strong independence for general lattic
A “lattice theoretic” proof of the independence of the automorphism group, the congruence lattice, and the subalgebra lattice of an infinitary algebra
✍ Scribed by George Grätzer
- Publisher
- Springer
- Year
- 1990
- Tongue
- English
- Weight
- 238 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0002-5240
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📜 SIMILAR VOLUMES
The equivalence of the following conditions on a chain \(L\) is proved: (1) \(L\) is algebraic; (2) There is a right chain domain \(T\) (with identity) such that \(L\) is isomorphic to the chain of proper two-sided ideals of \(T\) and all two-sided ideals of \(T\) are idempotent; (3) \(L\) is isomor
This is a continuation of work in previous papers [N. Ajmal and K.V. Thomas, Fuzzy Sets and Systems 58 (1993) 217; Inform. Sci. 76 (1994) 1]. Here, we provide a common technique of constructing the join of fuzzy substructures. Consequently, it leads to the formation of various types of lattices and