Examples of 'commutative algebra' in a sentence
Meaning of "commutative algebra"
commutative algebra - a branch of mathematics that studies properties of mathematical structures, such as groups and rings, where changing the order of operands does not affect the outcome
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- The branch of algebra concerned with commutative rings and objects related to them (such as ideals and modules).
- Any algebra (mathematical structure) in which the multiplication operation is commutative.
How to use "commutative algebra" in a sentence
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commutative algebra
This is a very common technique in commutative algebra.
Her research concerns commutative algebra and algebraic geometry.
The study of commutative rings is called commutative algebra.
Among other uses in commutative algebra and representation theory.
An introduction to computational algebraic geometry and commutative algebra.
The central notion in commutative algebra is that of prime ideal.
He addressed the question of rigour by recourse to commutative algebra.
His research interests include commutative algebra and algebraic geometry.
Algebraic geometry is in many ways the mirror image of commutative algebra.
The even functions form a commutative algebra over the reals.
Commutative algebra is the main technical tool in the local study of schemes.
A related idea exists in commutative algebra.
Many other notions of commutative algebra are counterparts of geometrical notions occurring in algebraic geometry.
Her research is in commutative algebra.
The study of these polynomials lies at the intersection of combinatorics and commutative algebra.
See also
Combinatorics and commutative algebra.
A commutative algebra over a commutative ring is called a reduced algebra if its underlying ring is reduced.
The notion is also defined more generally in commutative algebra.
Steps in commutative algebra.
Both algebraic geometry and algebraic number theory build on commutative algebra.
Her primary fields of interest are commutative algebra and affine algebraic geometry.
In the same period began the algebraization of the algebraic geometry through commutative algebra.
Vitulli 's research is in commutative algebra and applications to algebraic geometry.
At the behest of Douglas Northcott he switched his research focus to commutative algebra.
He wrote also Commutative Algebra in two volumes, with Pierre Samuel.
This is a glossary of commutative algebra.
The Stanley-Reisner ring construction is a basic tool within algebraic combinatorics and combinatorial commutative algebra.
Macaulay is designed for solving problems in commutative algebra and algebraic geometry.
Macaulay 2 is a new software system devoted to supporting research in algebraic geometry and commutative algebra.
The two-volume work Commutative Algebra that he wrote with Oscar Zariski is a classic.
Hyper - complex systems in their relations to commutative algebra.
The fundamental example in commutative algebra is the ring of integers Z { \ displaystyle \ mathbb { Z.
In mathematics, the residue field is a basic construction in commutative algebra.
Category, Commutative algebra.
This follows from the going up theorem of Cohen-Seidenberg in commutative algebra.
The commutative algebra K [ x ] of all polynomials over K ( see polynomial ring ).
The notion of a spectrum is the common basis of commutative algebra and algebraic geometry.
Macaulay2 is a computer algebra system for algebraic geometry and commutative algebra.
The tools that we use come from groebner bases theory, commutative algebra and algebraic geometry.
Abstract, This work is at the same time in Algebraic Geometry and Commutative Algebra.
Thus, a reductive Lie algebra is a direct sum of a commutative algebra and a semisimple algebra.
As such, it is said to define a deformation of the commutative algebra of C ∞ ℜ2.
It follows from Burnside's theorem that every commutative algebra Σ in I(V) is triangularizable.
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Examples of using Commutative
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A commutative ring is a ring whose multiplication is commutative
This addition is both commutative and associative
Commutative rings are also important in algebraic geometry
