What does homomorphy mean?
Definitions for homomorphy
ho·mo·mor·phy
This dictionary definitions page includes all the possible meanings, example usage and translations of the word homomorphy.
Princeton's WordNet
homomorphism, homomorphynoun
similarity of form
Wikipedia
homomorphy
In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces). The word homomorphism comes from the Ancient Greek language: ὁμός (homos) meaning "same" and μορφή (morphe) meaning "form" or "shape". However, the word was apparently introduced to mathematics due to a (mis)translation of German ähnlich meaning "similar" to ὁμός meaning "same". The term "homomorphism" appeared as early as 1892, when it was attributed to the German mathematician Felix Klein (1849–1925).Homomorphisms of vector spaces are also called linear maps, and their study is the subject of linear algebra. The concept of homomorphism has been generalized, under the name of morphism, to many other structures that either do not have an underlying set, or are not algebraic. This generalization is the starting point of category theory. A homomorphism may also be an isomorphism, an endomorphism, an automorphism, etc. (see below). Each of those can be defined in a way that may be generalized to any class of morphisms.
ChatGPT
homomorphy
In mathematics, homomorphism is a structure-preserving map between two algebraic structures or mathematical structures of the same type (such as two groups, two rings, or two vector spaces). The word "homomorphism" comes from the Greek language and means "similar shape", reflecting that the system retains its structure under such a map.
Webster Dictionary
Homomorphynoun
similarity of form; resemblance in external characters, while widely different in fundamental structure; resemblance in geometric ground form. See Homophyly, Promorphology
Etymology: [Homo- + Gr. morfh` form.]
Matched Categories
Numerology
Chaldean Numerology
The numerical value of homomorphy in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of homomorphy in Pythagorean Numerology is: 2
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"homomorphy." Definitions.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.definitions.net/definition/homomorphy>.
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