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Course# MATH-310: Algebra

Summary

Study basic concepts of modern algebra: groups, rings, fields.

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Instructors (1)

Related concepts (88)

Abelian group

In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are

Subgroup

In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗. More precisel

Ring (mathematics)

In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist. In other words, a ring is a set equipped wit

Prime number

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. F

Field extension

In mathematics, particularly in algebra, a field extension is a pair of fields K\subseteq L, such that the operations of K are those of L restricted to K. In this case, L is an extension

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Lectures in this course (38)