a) In a multiplicative way.

multiplicatively closed

b) With respect to multiplication.

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Look at other dictionaries:

  • Multiplicatively — Mul ti*pli*ca*tive*ly, adv. So as to multiply. [1913 Webster] …   The Collaborative International Dictionary of English

  • multiplicatively — adverb in a multiplicative manner the errors increased multiplicatively • Derived from adjective: ↑multiplicative * * * adverb see multiplicative I …   Useful english dictionary

  • multiplicatively — adverb see multiplicative …   New Collegiate Dictionary

  • multiplicatively — See multiplicative. * * * …   Universalium

  • multiplicatively — mul·ti·pli·ca·tive·ly …   English syllables

  • Multiplicatively closed set — In abstract algebra, a subset of a ring is said to be multiplicatively closed if it is closed under multiplication (i.e., xy is in the set when x and y are in it) and contains 1 but doesn t contain 0.[1] The condition is especially important in… …   Wikipedia

  • multiplicative — multiplicatively, adv. /mul teuh pli kay tiv, mul teuh plik euh /, adj. 1. tending to multiply or increase. 2. having the power of multiplying. [1645 55; < ML multiplicativus. See MULTIPLICATE, IVE] * * * …   Universalium

  • Commutative ring — In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Some specific kinds of commutative rings are given with …   Wikipedia

  • Localization of a module — In mathematics, the localization of a module is a construction to introduce denominators in a module for a ring. More precisely, it is a systematic way to construct a new module S −1 M out of a given module M containing fractions… …   Wikipedia

  • Cyclic group — Group theory Group theory …   Wikipedia

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