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Ore extension information


In mathematics, especially in the area of algebra known as ring theory, an Ore extension, named after Øystein Ore, is a special type of a ring extension whose properties are relatively well understood. Elements of a Ore extension are called Ore polynomials.

Ore extensions appear in several natural contexts, including skew and differential polynomial rings, group algebras of polycyclic groups, universal enveloping algebras of solvable Lie algebras, and coordinate rings of quantum groups.

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Ore extension

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an Ore extension, named after Øystein Ore, is a special type of a ring extension whose properties are relatively well understood. Elements of a Ore extension...

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Ore algebra

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In computer algebra, an Ore algebra is a special kind of iterated Ore extension that can be used to represent linear functional operators, including linear...

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Weyl algebra

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is also a noncommutative example of a domain, and an example of an Ore extension. The Weyl algebra is isomorphic to the quotient of the free algebra...

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Subring

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and the empty product, which is 1). Integral extension Group extension Algebraic extension Ore extension Dummit & Foote 2004. Lang 2002. Adamson, Iain...

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Ore Mountains

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The Ore Mountains (German: Erzgebirge, Czech: Krušné hory) lie along the Czech–German border, separating the historical regions of Bohemia in the Czech...

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Uranium ore

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Uranium ore deposits are economically recoverable concentrations of uranium within Earth's crust. Uranium is one of the most common elements in Earth's...

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Iron ore in Africa

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Cameroon include: Kribi – Mbalam – iron ore port Nkout – Afferro Mining Mbarga – iron ore deposit near Mbalam see extension in Congo-Brazzaville (Nabeba) Ngovayang...

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World War II

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April 1940, Germany invaded Denmark and Norway to protect shipments of iron ore from Sweden, which the Allies were attempting to cut off. Denmark capitulated...

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Kiruna mine

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The Kiruna mine is the largest and most modern underground iron ore mine in the world.[unreliable source?] The mine is located in Kiruna in Norrbotten...

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Ore genesis

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Various theories of ore genesis explain how the various types of mineral deposits form within Earth's crust. Ore-genesis theories vary depending on the...

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Minecraft

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commonly called "blocks"—representing various materials, such as dirt, stone, ores, tree trunks (known as 'Logs'), water, and lava. The core gameplay revolves...

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Albania

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from the original on 9 December 2017. Retrieved 29 August 2020. Zavalani, Orion. "Renewable energy potentials of Albania". European Commission (EC). Archived...

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Balkans

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also being harnessed for power generation. Metal ores are more usual than other raw materials. Iron ore is rare, but in some countries there is a considerable...

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Luxembourg

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Council (2013–14). The steel industry exploiting the Red Lands' rich iron-ore grounds in the beginning of the 20th century drove Luxembourg's industrialization...

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Silver Dollar City

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mined from the cave, the marble wall proved to be limestone, and no lead ore was found. The mining company ceased operation. In 1889, William Henry Lynch...

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Bulgaria

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from the original on 19 April 2022. Retrieved 20 July 2018. "Bulgaria's ore exports rise 10% in H1 2011 – industry group". The Sofia Echo. 18 August...

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Rail transport

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by horses, started appearing in the 1550s to facilitate the transport of ore tubs to and from mines and soon became popular in Europe. Such an operation...

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Marie Curie

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minute quantities that they would eventually have to process tonnes of the ore. In July 1898, Curie and her husband published a joint paper announcing the...

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Afghanistan

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opium producer. The country's natural resources include: coal, copper, iron ore, lithium, uranium, rare earth elements, chromite, gold, zinc, talc, barite...

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List of municipalities in Michigan

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Bethany. "Understanding townships in Michigan". Michigan State University Extension. Michigan State University. Archived from the original on July 29, 2022...

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Arnold Schwarzenegger

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from the original on May 19, 2019. Retrieved May 19, 2019. Donovan-Smith, Orion (May 19, 2019). "Arnold Schwarzenegger unhurt after taking a flying kick...

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Volksparkstadion

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Illustrated Conran Octopus Gaia Godsfield Hamlyn Mitchell Beazley Philip's Spruce Orion Books Weidenfeld & Nicolson Gollancz Quercus Bookouture Hachette India...

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Atlas Mountains

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The Atlas are rich in natural resources. There are deposits of iron ore, lead ore, copper, silver, mercury, rock salt, phosphate, marble, anthracite coal...

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