Note: The translation for this entry is currently under quality review. Some content is temporarily displayed in English only.
abstract algebra
This term refers to a specialized field of mathematics that shifts focus away from the calculation of specific numerical values toward the study of overarching algebraic structures. It is characterized by a high level of theoretical rigor and is typically encountered in upper-level undergraduate or graduate university curricula.
In academic and professional discourse, the term is used as a formal designation for the discipline. Because it describes a singular field of study, it is treated as an uncountable noun and does not have a plural form.
Meanings
A branch of mathematics that studies algebraic structures such as groups, rings, fields, and vector spaces, focusing on the general properties of these structures rather than specific numbers.
The professor specializes in abstract algebra, focusing specifically on group theory and Galois theory.