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ετυμολογία

two-valued homomorphism - translation to ρωσικά

MORPHISM (STRUCTURE-PRESERVING MAP) BETWEEN TWO ALGEBRAIC STRUCTURES OF THE SAME TYPE

HomoMorphism; Homomorphisms; Homomorphic; E-free homomorphism; Homomorphy; Homorphic; Principal homomorphism; Surjective homomorphism; Injective homomorphism; Bijective homomorphism

two-valued homomorphism

математика

двузначный гомоморфизм

topological homomorphism

TVS homomorphism; Topological vector space homomorphism; TVS-homomorphism

математика

топологический гомоморфизм

many-valued logic

PROPOSITIONAL CALCULUS IN WHICH THERE ARE MORE THAN TWO TRUTH VALUES

Multiple-valued logic; Many valued logic; Multivalued logic; Polyvalued logic; Many-valued logics; Belnap logic; Many-Valued Logics; Multi-valued logics; Multi-valued logic; Multiple valued logic; Multi valued logic; Poly-valued logic; Poly valued logic; Manyvalued logic; MV logic; M-V logic; MV-logic; Polyvalent logic; Applications of many-valued logic; Bochvar logic; History of many-valued logic; Rose logic

математика

многозначная логика

Ορισμός

Homomorphy

·noun Similarity of form; resemblance in external characters, while widely different in fundamental structure; resemblance in geometric ground form. ·see Homophyly, Promorphology.

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Βικιπαίδεια

Homomorphism

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.

https://en.wikipedia.org/wiki/Homomorphism

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