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Unit divisor

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MathematicsAlgebraRing TheoryUnit Ring

An element $a$ of a ring (with a unit element 1) for which there exists an inverse, i.e. an element $b$ such that $ab=ba=1$. In the theory of algebraic numbers and algebraic functions such elements are also called units.

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2020 Mathematics Subject Classification: Primary: 15-XX Secondary: 13A05 [MSN][ZBL]

Comments

The phrases divisor of unity or invertible element are also used for this notion.

See Divisibility in rings for the general theory.

How to Cite This Entry:
Unit divisor. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Unit_divisor&oldid=35236

This article was adapted from an original article by O.A. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article

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Unit RingMathematics / Algebra / Ring Theory / Unit Ringmethod: title_similarity - confidence: 0.90suggested

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Unit divisorencyclopedia_of_mathematics

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Divisibility in ringsoutgoing citation Divisibility in ringsincoming citation

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discussesarticle:eom--unit-divisor--1af10d3d90 -> concept:unit-divisorconfidence: 1.00 - provenance: encyclopedia_of_mathematicsconfirmed

citesconcept:unit-divisor -> concept:divisibility-in-ringsconfidence: 1.00 - provenance: article link extractionreviewed

citesconcept:divisibility-in-rings -> concept:unit-divisorconfidence: 1.00 - provenance: article backlink extractionreviewed

subcategory_ofconcept:unit-divisor -> topic:unit-ringconfidence: 0.90 - provenance: title_similarity classificationsuggested

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