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Ore Condition
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Geliefert zwischen Do., 22.01.2026 und Fr., 23.01.2026
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, especially in the area of algebra known as ring theory, the Ore condition is a condition introduced by Øystein Ore, in connection with the question of extending beyond commutative rings the construction of a field of fractions, or more generally localization of a ring. The right Ore condition for a domain R, and any pair a, b of non-zero elements, is the requirement that the sets aR and bR should intersect in more than the element 0. The left Ore condition is defined similarly. A domain that satisfies the right Ore condition is called a right Ore domain. For every right Ore domain R, there is a unique (up to natural R-isomorphism) division ring D containing R as a subring such that every element of D is of the form rs 1, for r in R and s nonzero in R. Such a division ring D is called a ring of right fractions of R, and R is called a right order in D.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131302909
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131302909
- Format Fachbuch
- Titel Ore Condition
- Herausgeber Betascript Publishing
- Anzahl Seiten 120
- Genre Mathematik
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