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Ore Condition: Mathematics, Commutative Ring, Ring Theory
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 (Buch) |
Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 2 Artikel!
| Lieferstatus: |
i.d.R. innert 7-14 Tagen versandfertig |
| Veröffentlichung: |
März 2026
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| Genre: |
Schulbücher |
| ISBN: |
9786131302909 |
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EAN-Code:
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9786131302909 |
| Verlag: |
Omniscriptum |
| Einband: |
Kartoniert |
| Sprache: |
English
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| Dimensionen: |
H 220 mm / B 150 mm / D 8 mm |
| Gewicht: |
197 gr |
| Seiten: |
120 |
| Bewertung: |
Titel bewerten / Meinung schreiben
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| Inhalt: |
| 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. |
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