Monoid intervals in lattices of clones
β Scribed by A. A. Krokhin
- Publisher
- Springer US
- Year
- 1995
- Tongue
- English
- Weight
- 1009 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0002-5232
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π SIMILAR VOLUMES
A new strict hierarchy for the pseudovariety of aperiodic monoids is described. The nth level of the hierarchy is the pseudovariety of all divisors of monoids of full transformations of finite chains respecting some n-chain of inter¨als. The levels can be obtained by iterated semidirect product of t
For any partially ordered abelian group G, we relate the structure of the ordered Ž . Ž monoid ⳠG of inter¨als of G i.e., nonempty, upward directed lower subsets of . G , to various properties of G, as for example interpolation properties, or topological properties of the state space when G has an