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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 … 展开
The goal is to construct the right ring of fractions R[S ] with respect to a multiplicative subset S. In other words, we want to work with … 展开
Commutative domains are automatically Ore domains, since for nonzero a and b, ab is nonzero in aR ∩ bR. Right Noetherian domains, such as right principal ideal domains, are also known to be right Ore domains. Even more generally, 展开
1. ^ Cohn, P. M. (1991). "Chap. 9.1". Algebra. Vol. 3 (2nd ed.). p. 351.
2. ^ Artin, Michael (1999). "Noncommutative Rings" (PDF). p. 13. Retrieved 9 May 2012. 展开Since it is well known that each integral domain is a subring of a field of fractions (via an embedding) in such a way that every element is of the form rs with s nonzero, it is natural to ask if the same construction can take a noncommutative domain and … 展开
The Ore condition can be generalized to other multiplicative subsets, and is presented in textbook form in (Lam 1999, §10) and (Lam 2007, §10). A subset S of a ring R is called a right … 展开
CC-BY-SA 许可证中的维基百科文本 Pre-existing condition - Wikipedia
In the context of healthcare in the United States, a pre-existing condition is a medical condition that started before a person's health insurance went into effect. Before 2014, some insurance policies would not cover expenses due to pre-existing conditions. These exclusions by the insurance industry were meant to cope with adverse selection by potential customers. Such exclusions have been prohibited since January 1, 2014, by the Patient Protection and Affordable Care Act.
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Ore's theorem - Wikipedia
网页Ore's theorem is a result in graph theory proved in 1960 by Norwegian mathematician Øystein Ore. It gives a sufficient condition for a graph to be Hamiltonian, essentially …
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About: Ore condition - DBpedia Association
网页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 …
网页Introduction Ore localization. GOLDIE’S THEOREM. RICHARD G. SWAN Abstract. This is an exposition of Goldie’s theorem with a section on Ore localization and with an …
Ore condition - Wikiwand
网页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 …
Ore's Theorem - ProofWiki
网页2021年11月29日 · Theorem. Let G =(V, E) G = (V, E) be a simple graph of order n ≥ 3 n ≥ 3. Let G G be an Ore graph, that is: For each pair of non-adjacent vertices u, v ∈ V u, v ∈ V: …
Øystein Ore - Wikipedia
网页Øystein Ore (7 October 1899 – 13 August 1968) was a Norwegian mathematician known for his work in ring theory, Galois connections, graph theory, and the history of mathematics. …
Ore condition - Academic Dictionaries and Encyclopedias
网页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 …
Ore Body, Shapes and Occurrence of | SpringerLink
网页2022年12月27日 · Ore bodies are geological bodies that occur in the crust with sufficient ores and mining value. The ore body has a certain shape, occurrence, and scale. The …
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