What does abstract algebra mean?
Definitions for abstract algebra
ab·strac·t al·ge·bra
This dictionary definitions page includes all the possible meanings, example usage and translations of the word abstract algebra.
Wiktionary
abstract algebranoun
The branch of mathematics concerned with algebraic structures, such as groups, rings, and fields.
Wikipedia
Abstract algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field. The term abstract algebra was coined in the early 20th century to distinguish this area of study from older parts of algebra, and more specifically from elementary algebra, the use of variables to represent numbers in computation and reasoning. Algebraic structures, with their associated homomorphisms, form mathematical categories. Category theory is a formalism that allows a unified way for expressing properties and constructions that are similar for various structures. Universal algebra is a related subject that studies types of algebraic structures as single objects. For example, the structure of groups is a single object in universal algebra, which is called the variety of groups.
Wikidata
Abstract algebra
In algebra, which is a broad division of mathematics, abstract algebra is a common name for the sub-area that studies algebraic structures in their own right. Such structures include groups, rings, fields, modules, vector spaces, and algebras. The specific term abstract algebra was coined at the turn of the 20th century to distinguish this area from the other parts of algebra. The term modern algebra has also been used to denote abstract algebra. Two mathematical subject areas that study the properties of algebraic structures viewed as a whole are universal algebra and category theory. Algebraic structures, together with the associated homomorphisms, form categories. Category theory is a powerful formalism for studying and comparing different algebraic structures.
Numerology
Chaldean Numerology
The numerical value of abstract algebra in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of abstract algebra in Pythagorean Numerology is: 4
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"abstract algebra." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/abstract+algebra>.
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