ring homomorphism

noun

A function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity).

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Meanings

nounring homomorphism (plural ring homomorphisms)

plural ring homomorphisms

  1. algebraA function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity).
Cite this entry
APA

ring homomorphism. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/ring%20homomorphism

MLA

“ring homomorphism.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/ring%20homomorphism. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “ring homomorphism,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/ring%20homomorphism.

Source: ring homomorphism on Wiktionary, CC BY-SA 4.0.