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Definitions from the Web

Algebraic Map

Description

An algebraic map, in mathematics, refers to a function between algebraic varieties that preserves the algebraic structure. It is a mapping that can be defined by polynomials.

Senses and Usages

• Sense 1: In the field of algebraic geometry, an algebraic map describes a morphism between algebraic varieties.
• Sense 2: In abstract algebra, an algebraic map is a homomorphism between algebraic structures, such as groups, rings, or fields.

Sample Sentences

1. She studied the algebraic map between the two different curves to understand their geometric relationship.
2. The algebraic map transformed the coordinates of the points on the graph using polynomials.
3. The algebraic map from the group of integers to the group of real numbers preserved the operation of addition.
4. We need to analyze the algebraic map between these two algebraic structures to determine their isomorphism.

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