What does additive group mean?

Definitions for additive group
ad·di·tive group

This dictionary definitions page includes all the possible meanings, example usage and translations of the word additive group.


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Wiktionary

  1. additive groupnoun

    An abelian group, when it is written using the symbol + for its binary operation

  2. additive groupnoun

    The underlying group under addition of a field, ring, vector space or other structure having addition as one of its operations

  3. additive groupnoun

    A group scheme representing the underlying-additive-group functor.

Wikipedia

  1. Additive group

    An additive group is a group of which the group operation is to be thought of as addition in some sense. It is usually abelian, and typically written using the symbol + for its binary operation. This terminology is widely used with structures equipped with several operations for specifying the structure obtained by forgetting the other operations. Examples include the additive group of the integers, of a vector space and of a ring. This is particularly useful with rings and fields to distinguish the additive underlying group from the multiplicative group of the invertible elements.

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Numerology

  1. Chaldean Numerology

    The numerical value of additive group in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of additive group in Pythagorean Numerology is: 7

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"additive group." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/additive+group>.

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