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divisor (ring theory)

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Context

Algebra

Arithmetic

Contents

Definitions

Let RR be a commutative ring (or any ring).

An element xx of RR is a divisor of an element yy of RR if there exists an element zz of RR such that zx=yz x = y.

If RR is (or may be) non-commutative, then we may distinguish left and right divisors in the usual way.

See also

Created on May 19, 2021 at 12:16:53. See the history of this page for a list of all contributions to it.