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Free algebras over Bezout domains are Sylvester domains

✍ Scribed by Warren Dicks


Book ID
107816355
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
821 KB
Volume
27
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES


Note on free algebras over continuous do
✍ JΓΌrgen Koslowski πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 322 KB

We provide a simple direct proof that for a finitary signature and a set of inequalities the free algebra functor on the category of directed complete partial orders (dcpo's) takes continuous, respectively algebraic, dcpo's to free algebras whose underlying dcpo is again continuous, respectively alg

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Free left modules over right Bezout domains are characterized by a set of geometric axioms resembling those of U. Brehm, where results of this kind have been obtained for torsion-free left modules over left Ore domains. Discourses by S. E. Schmidt and the present author have come to similar results