multiplicative subset

multiplicative subset

[‚məl·tə′plik·əd·iv ′səb‚set]
(mathematics)
A subset S of a commutative ring such that if x and y are in S then so is xy.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The set of i/o difference equations (1) is said to be in the Popov form if there is a multiplicative subset S of A, S [[contains].bar] S, such that the matrix [mathematical expression not reproducible] is in the Popov form over [mathematical expression not reproducible].
[9] Assume that S and S are multiplicative subsets of A and S [subset] S , invariant with respect to [delta] and [[delta].sup.-1].
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