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Every finite semigroup is embeddable in a finite relatively free semigroup

✍ Scribed by George M. Bergman


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
296 KB
Volume
186
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES


Not every finite lattice is embeddable i
✍ A.H Lachlan; R.I Soare πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 469 KB

## A certain lattice with eight elements is shown to be not embeddable as a lattice in the recursively enumerable degrees. This refutes the well-known Embedding Conjecture which asserted that every finite lattice could be so embedded.

Every Endomorphism of a Local Warfield M
✍ RΓΌdiger GΓΆbel; Ansgar OpdenhΓΆvel πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 118 KB

A well-known result of P. Hill's [1969, Trans. Amer. Math. Soc. 141, 99-105] says that any endomorphism of a totally projective abelian p-group for any odd prime is the sum of two automorphisms. We will extend this result to local Warfield modules of finite torsion-free rank over odd primes.