prime element


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prime element

[′prīm ′el·ə·mənt]
(mathematics)
A member of an integral domain that is not a unit and is not the product of two members that are not units. Also known as prime.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Let [beta], [gamma] be two prime elements in Z[i] and [eta] = [beta].[gamma], then [PHI]([eta]) = [PHI]([beta]).
Since is a prime element, we have that b = [b.sub.1] [conjunction] [b.sub.2] [not less than or equal to] a.
As a result, vegetation was the prime element contributing to the experience of the garden.
Mr Evans, the prime element in Lord Joffe's Bill will change the role of doctors in the treatment of patients.
Elizabeth Taylor's image of elegance has been a prime element in the ability of her various fragrance lines to generate of hundreds of millions of dollars in sales for Elizabeth Arden over the past three decades.
The technium concept forms a prime element of the WDA strategy to develop a knowledgebased economy.
Ecotourism, of a very exclusive nature, is a prime element used to fund the park's conservation.
They are a prime element of the rhythmic electricity these films produce.
Perhaps the prime element making the material so engaging is the fresh, funny dynamic among the five inexperienced criminals.
But this relative obscurity is undeserved, considering that the prime element of the decoration consists of a highly ambitious series of nine large-scale marble reliefs by several of the leading figures in Venetian Cinquecento sculpture, including Tullio and Antonio Lombardo, Jacopo Sansovino, Danese Cattaneo and Girolamo Campagna.
Nurturance is a prime element in the editorial process.
(2) For a point p of X of codimension one, we define [Irr.sub.p](L) [is an element of] Z to be the minimal integer i [is greater than or equal to] 0 such that [[Omega].sub.L,p] is contained in [Mathematical Expression Omitted], where [Pi] is a prime element of the discrete valuation ring [O.sub.X,p].