group unit - Übersetzung nach russisch
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group unit - Übersetzung nach russisch

IN MATHEMATICS, AN INVERTIBLE ELEMENT OR A UNIT IN A RING R
Unit (algebra); Group of units; Unit group; Unit element; Unit (mathematics); Unit (abstract algebra)

group unit      

нефтегазовая промышленность

групповая установка (скважинных насосов, сепараторов)

unit group         

математика

группа единиц

group of units         

математика

группа единиц

Definition

Крайслер

Wikipedia

Unit (ring theory)

In algebra, a unit or invertible element of a ring is an invertible element for the multiplication of the ring. That is, an element u of a ring R is a unit if there exists v in R such that

where 1 is the multiplicative identity; the element v is unique for this property and is called the multiplicative inverse of u. The set of units of R forms a group R× under multiplication, called the group of units or unit group of R. Other notations for the unit group are R, U(R), and E(R) (from the German term Einheit).

Less commonly, the term unit is sometimes used to refer to the element 1 of the ring, in expressions like ring with a unit or unit ring, and also unit matrix. Because of this ambiguity, 1 is more commonly called the "unity" or the "identity" of the ring, and the phrases "ring with unity" or a "ring with identity" may be used to emphasize that one is considering a ring instead of a rng.

Beispiele aus Textkorpus für group unit
1. Roh also took issue with the controversial acquisition of shares in a Samsung group unit by Lee’s son, Jay–Yong, who is seen as the heir apparent.
2. The yard sale has reached Germany, where group unit AFI Europe is negotiating to sell 30% of its holdings in Germany to an as–yet unnamed Russian oligarch.
3. As part of the borrowing program, Saad Group unit Saad Trading & Contracting Co. plans to sell benchmark–size Islamic bonds, or Sukuk, spokesman Mohamed Moqeabel told Reuters by telephone.
4. Tata has retained, via a group unit, its "financial" stake in Idea, which operates a cellular service based on the GSM communications standard that has a market share of 8.42 per cent.
5. David Bermingham, Gary Mulgrew and Giles Darby, former executives at Royal Bank of Scotland Group unit Greenwich NatWest, had argued that as the majority of the alleged offenses took place in Britain any trial should be held there, and that their deportation to the United States would contravene European human rights laws.
Übersetzung von &#39group unit&#39 in Russisch