homomorphism

homomorphism
noun Etymology: International Scientific Vocabulary Date: 1935 a mapping of a mathematical set (as a group, ring, or vector space) into or onto another set or itself in such a way that the result obtained by applying the operations to elements of the first set is mapped onto the result obtained by applying the corresponding operations to their respective images in the second set • homomorphic adjective

New Collegiate Dictionary. 2001.

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  • Homomorphism — Ho mo*mor phism, n. [See {Homomorphous}.] 1. (Biol.) Same as {Homomorphy}. [1913 Webster] 2. (Bot.) The possession, in one species of plants, of only one kind of flowers; opposed to heteromorphism, dimorphism, and trimorphism. [1913 Webster] 3.… …   The Collaborative International Dictionary of English

  • homomorphism — [hō΄mō môr′fiz΄əm, häm΄ōmôr′fiz΄əm] n. [ HOMO + MORPH + ISM] 1. similarity in form 2. Biol. resemblance or similarity, without actual relationship, in structure or origin: said of organs or organisms 3. Bot. uniformity in shape or size, as of… …   English World dictionary

  • Homomorphism — In abstract algebra, a homomorphism is a structure preserving map between two algebraic structures (such as groups, rings, or vector spaces). The word homomorphism comes from the Greek language: ὁμός (homos) meaning same and μορφή (morphe)… …   Wikipedia

  • homomorphism — homomorphous, adj. /hoh meuh mawr fiz euhm, hom euh /, n. 1. Biol. correspondence in form or external appearance but not in type of structure or origin. 2. Bot. possession of perfect flowers of only one kind. 3. Zool. resemblance between the… …   Universalium

  • homomorphism — homomorfizmas statusas T sritis fizika atitikmenys: angl. homomorphism vok. Homomorphismus, m rus. гомоморфизм, m pranc. homomorphisme, m …   Fizikos terminų žodynas

  • homomorphism — noun a) A structure preserving map between two algebraic structures, such as groups, rings, or vector spaces. b) A similar appearance of two unrelated organisms or structures See Also: morphism …   Wiktionary

  • homomorphism — homo·mor·phism …   English syllables

  • homomorphism — ho•mo•mor•phism [[t]ˌhoʊ məˈmɔr fɪz əm, ˌhɒm ə [/t]] also ho′mo•mor phy n. 1) dvl correspondence in form or external appearance 2) bot possession of perfect flowers of only one kind • Etymology: 1865–70 ho mo•mor′phous, ho mo•mor′phic, adj …   From formal English to slang

  • homomorphism — /hoʊmoʊˈmɔfɪzəm/ (say hohmoh mawfizuhm) noun 1. Biology correspondence in form or external appearance but not in type of structure or in origin. 2. Zoology resemblance between the young and the adult. Also, homomorphy. {homo + morph + ism}… …  

  • homomorphism — noun similarity of form • Syn: ↑homomorphy • Hypernyms: ↑similarity …   Useful english dictionary

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