Rings and Algebras

Guerino Mazzola

doi:10.1007/978-3-319-64495-0_4

Rings and Algebras

Guerino Mazzola

Music (Twin Cities)

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

A (unitary) ring is a triple (R, α, μ) where (R, α) is an abelian group whose operation α is written additively (α(r, s) = r + s) with neutral element 0_R, and (R, μ) is monoid, written multiplicatively with multiplicative neutral element 1_R such that these operations are coupled by distributivity, i.e., for all.

Original language	English (US)
Title of host publication	Computational Music Science
Publisher	Springer Nature
Pages	1385-1390
Number of pages	6
DOIs	https://doi.org/10.1007/978-3-319-64495-0_4
State	Published - 2017

Publication series

Name	Computational Music Science
ISSN (Print)	1868-0305
ISSN (Electronic)	1868-0313

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© 2017, Springer International Publishing AG, part of Springer Nature.

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10.1007/978-3-319-64495-0_4

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Rings and Algebras

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