Sentence examples for in abstract algebra from inspiring English sources

In addition to carrying on with her research, she taught classes in abstract algebra and algebraic geometry.

In abstract algebra, the even integers form various algebraic structures that require the inclusion of zero.

(The recent development in abstract algebra known as category theory offers the most conspicuous examples of these problems).

He made major advances in abstract algebra in 1926 and the following year used the theory of formal-real fields to solve the Hilbert problem of definite functions.

This is all wrong, and if you think about how the people in your story are assumed to behave — as opposed to getting bogged down in abstract algebra — it should be obvious that it's all wrong.

Yet those who have heard of her praised her highly – her work in abstract algebra and theoretical physics led Einstein to call her "a creative mathematical genius", and mathematician Norbert Wiener wrote that she was "the greatest female mathematician who has ever lived".

In Section 3 we show that there are some connections between weakly contractive maps, square roots in abstract algebras and the geometry of the unit ball.

In his proof, Zemanek used the Banach-Caccioppoli theorem and was inspired by a previous paper by Bonsall and Stirling [12] about the existence of square roots in abstract algebras.

At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses.

We envision that this module can be used in biology courses such as genetics, microbiology, and cell and molecular biology and in mathematics courses in discrete mathematics, finite mathematics, mathematical modeling, and in advanced abstract algebra courses.

Vector spaces may be generalized in several ways, leading to more advanced notions in geometry and abstract algebra.