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isomorphism$41091$ - translation to ιταλικό

THEOREMS THAT DESCRIBE THE RELATIONSHIP BETWEEN QUOTIENTS, HOMOMORPHISMS, AND SUBOBJECTS

Noether isomorphism theorem; First isomorphism theorem; Second isomorphism theorem; Noether ismorphism theorem; Third group isomorphism theorem; Third ring isomorphism theorem; Second group isomorphism theorem; Second ring isomorphism theorem; First group isomorphism theorem; First ring isomorphism theorem; Third isomorphism theorem; First Ring Isomorphism Theorem; First Group Isomorphism Theorem; Second Group Isomorphism Theorem; Group Isomorphism Theorems; Group isomorphism theorems; Noether isomorphism theorems; First Isomorphism Theorem; Isomorphism factory; Isomorphism theorem; 1st isomorphism theorem

isomorphism

n. isomorfismo

up to

MATHEMATICAL STATEMENT OF UNIQUENESS, EXCEPT FOR AN EQUIVALENT STRUCTURE (EQUIVALENCE RELATION)

Up to symmetry; Up to isomorphism; Modulo isomorphism

fino a

linear transformation

$The function f:\R^2 \to \R^2 with f(x, y) = (2x, y) is a linear map. This function scales the x component of a vector by the factor 2.$
$The function f(x, y) = (2x, y) is additive: It doesn't matter whether vectors are first added and then mapped or whether they are mapped and finally added: f(\mathbf a + \mathbf b) = f(\mathbf a) + f(\mathbf b)$
$The function f(x, y) = (2x, y) is homogeneous: It doesn't matter whether a vector is first scaled and then mapped or first mapped and then scaled: f(\lambda \mathbf a) = \lambda f(\mathbf a)$

MAPPING THAT PRESERVES THE OPERATIONS OF ADDITION AND SCALAR MULTIPLICATION

Linear operator; Linear mapping; Linear transformations; Linear operators; Linear transform; Linear maps; Linear isomorphism; Linear isomorphic; Linear Transformation; Linear Transformations; Linear Operator; Homogeneous linear transformation; User:The Uber Ninja/X3; Linear transformation; Bijective linear map; Nonlinear operator; Linear Schrödinger Operator; Vector space homomorphism; Vector space isomorphism; Linear extension of a function; Linear extension (linear algebra); Extend by linearity; Linear endomorphism

trasformazione lineare

Ορισμός

isomorphic

<mathematics> Two mathematical objects are isomorphic if they have the same structure, i.e. if there is an isomorphism between them. For every component of one there is a corresponding component of the other. (1995-03-25)

Εμφάνιση περισσότερων ορισμών

Βικιπαίδεια

Isomorphism theorems

In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules, Lie algebras, and various other algebraic structures. In universal algebra, the isomorphism theorems can be generalized to the context of algebras and congruences.

https://en.wikipedia.org/wiki/Isomorphism theorems