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field

field, in algebra, set of elements (usually numbers) that may be combined under the operations of addition and multiplication so that it constitutes an additive group , the nonzero elements form a multiplicative group, and multiplication distributes over addition. The set of real numbers (see number ) and the set of complex numbers are both examples of fields.

The Columbia Electronic Encyclopedia, 6th ed. Copyright © 2012, Columbia University Press. All rights reserved.

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