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Fully Ordered Rings

✍ Scribed by M. Satyanarayana

Publisher
John Wiley and Sons
Year
1970
Tongue
English
Weight
340 KB
Volume
44
Category
Article
ISSN
0025-584X

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πŸ“œ SIMILAR VOLUMES

Ordered βˆ— -Rings
Ordered βˆ— -Rings
✍ Thomas C Craven; Tara L Smith πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 114 KB

1157᎐2273 has generalized the notion of )-ordering to the setting of a ring with involution. In this paper we analyze the Ž . ways in which a given )-ordering on the set of symmetric elements can be extended to a multiplicatively closed ordering on a larger set of elements. A complete answer is give

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The relationship between a poring and a convex subring has been studied most successfully for porings with bounded inversion. The best conceivable results are known for real closed rings. The present paper focuses on the connections between the prime spectra and between the real spectra of a poring

Direct sums of ordered near-rings
Direct sums of ordered near-rings
✍ GΓΌnter F Pilz πŸ“‚ Article πŸ“… 1971 πŸ› Elsevier Science 🌐 English βš– 153 KB
Completions of Convexly Ordered Valuatio
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✍ Larry Mathews πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 699 KB

## Abstract We prove that every convexly ordered valuation ring has a unique completion as a uniform space, which furthermore is a convexly ordered valuation ring. In addition, we give a model theoretic characterisation of complete convexly ordered valuation rings, and give a necessary and sufficie