Search for "Commutative algebra" in article titles:

1. Commutative algebra: Commutative algebra developed as a theory in mathematics having the aim of translating classical geometric ideas into an algebraic framework, pioneered by David Hilbert and Emmy Noether at the beginning of the 20th century. The notion of commutative ring assumes ... [100%] 2023-06-10
2. Commutative algebra: The branch of algebra studying the properties of commutative rings and objects relating to them (ideals, modules, valuations, etc., cf. Ideal; Module; Valuation). (Mathematics) [100%] 2023-10-13
3. Commutative algebra: Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. (Branch of algebra that studies commutative rings) [100%] 2022-11-28 [Commutative algebra]
4. Commutative Banach algebra: A Banach algebra $ A $ with identity over the field $ \mathbf C $ in which $ x y = y x $ for all $ x , y \in A $. Each maximal ideal of a commutative Banach algebra $ A $ is the kernel of some continuous multiplicative linear ... (Mathematics) [81%] 2023-09-09
5. Anti-commutative algebra: A linear algebra over a field in which the identity \begin{equation}x^2=0\label{*}\end{equation} is valid. If the characteristic of the field differs from 2, the identity \eqref{*} is equivalent with the identity $xy=-yx$. (Mathematics) [81%] 2023-10-18
6. Combinatorial commutative algebra: Combinatorial commutative algebra is a relatively new, rapidly developing mathematical discipline. As the name implies, it lies at the intersection of two more established fields, commutative algebra and combinatorics, and frequently uses methods of one to address problems arising in ... [81%] 2023-09-26 [Commutative algebra] [Algebraic geometry]...
7. Anti-commutative algebra: A linear algebra over a field in which the identity \begin{equation}x^2=0\label{*}\end{equation} is valid. If the characteristic of the field differs from 2, the identity \eqref{*} is equivalent with the identity $xy=-yx$. (Mathematics) [81%] 2024-03-08
8. Localization (commutative algebra): In commutative algebra and algebraic geometry, localization is a formal way to introduce the "denominators" to a given ring or module. That is, it introduces a new ring/module out of an existing ring/module R, so that it consists ... (Commutative algebra) [81%] 2025-04-27 [Ring theory] [Module theory]...
9. Journal of Commutative Algebra: The Journal of Commutative Algebra is a peer-reviewed academic journal of mathematical research that specializes in commutative algebra and closely related fields. It has been published by the Rocky Mountain Mathematics Consortium (RMMC) since its establishment in 2009. [70%] 2022-07-17 [Mathematics journals]
10. Glossary of commutative algebra: This is a glossary of commutative algebra. See also list of algebraic geometry topics, glossary of classical algebraic geometry, glossary of algebraic geometry, glossary of ring theory and glossary of module theory. (none) [70%] 2024-01-04 [Glossaries of mathematics] [Commutative algebra]...
11. Homological conjectures in commutative algebra: In mathematics, homological conjectures have been a focus of research activity in commutative algebra since the early 1960s. They concern a number of interrelated (sometimes surprisingly so) conjectures relating various homological properties of a commutative ring to its internal ring ... [63%] 2023-02-14 [Commutative algebra] [Homological algebra]...
12. Localization in a commutative algebra: A transition from a commutative ring $ A $ to the ring of fractions (cf. Fractions, ring of) $ A [ S ^ {-1} ] $, where $ S $ is a subset of $ A $. (Mathematics) [63%] 2023-10-13
13. Open problems in non-commutative algebra: Open problems in noncommutative algebra. Everybody is invited to add, correct or edit (please try to provide references or attributions). [57%] 2025-02-19