How to use commutative in a sentence

Examples of commutative by meaning

More sentences with commutative

• The real numbers can be extended to a wheel, as can any commutative ring.From the entry wheel
• Since the AND logical operator is commutative, associative, and idempotent, it distributes with respect to itself.From the entry idempotent
• Abstractly, additive number theory includes the study of abelian groups and commutative semigroups with an addition operation.From the entry additive number theory
• Since a commutative zero is the inverse of any additive identity, it must be unique when it exists.From the entry zero
• There are elegant theorems and deep connections with polytopes, polyhedra, combinatorics, commutative algebra, symplectic geometry, and topology.2024, David A. Cox, John B. Little, Henry K. Schenck, Toric Varieties, American Mathematical Society, →ISBN. From the entry toric
• This is not the case, however, and some commutative Boolean operators are not associative.2022 August 4, William Bahn, “Boolean Algebra Laws—Delving Into Boolean Identities”, in All About Circuits. From the entry boolean
• Let R be a semiperfect commutative Noetherian ring and C a semidualizing R-module.2015, Arash Sadeghi, “Linkage of finite G_C-dimension modules”, in (Please provide the book title or journal name). From the entry semiperfect
• Indeed, a commutative simple ring with unity must be a field (Problem 1, Section 1).1994, P. B. Bhattacharya, S. K. Jain, S. R. Nagpaul, Basic Abstract Algebra, 2nd edition, Cambridge University Press, page 204. From the entry simple ring
• We devote this chapter to the study of unitary commutative algebras in dg-modules, in simplicial modules and in cosimplicial modules.2017, Benoit Fresse, Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2, American Mathematical Society, page 163. From the entry commutative algebra
• We show that the Hilbert-Kunz multiplicity for commutative, finitely generated, semipositive, cancellative and reduced binoids exists and is a rational number.2016, Bayarjargal Batsukh, “Hilbert-Kunz theory for binoids”, in arXiv. From the entry binoids
• If K is commutative, then every left K-module is automatically equipped with the structure of right and a two-sided K-module.2012, A. A. Kirillov, Elements of the Theory of Representations, Springer, page 29. From the entry module
• Terwilliger introduced a method for studying commutative association schemes by defining a new algebra that is noncommutative, finite dimensional, semisimple C-algebra.2008, Terwilliger Algebras of Wreath Products of Association Schemes, →ISBN. From the entry subconstituent
• Along the way, we show that commutative affine domains, uniparameter quantum tori, and uniparameter quantum affine spaces satisfy the generalised Dixmier-Moeglin equivalence..2015, Jason Bell, Stéphane Launois, Brendan Nolan, “A generalised Dixmier-Moeglin equivalence for quantum Schubert cells”, in arXiv. From the entry uniparameter
• Algebraic statistics is concerned with the development of techniques in algebraic geometry, commutative algebra, and combinatorics, to address problems in statistics and its applications.2009, Mathias Drton, Bernd Sturmfels, Seth Sullivant, Lectures on Algebraic Statistics, Springer (Birkhäuser), page vii. From the entry algebraic statistics
• In trying to understand the ideal theory of a commutative ring, one quickly sees that it is important to first understand the prime ideals.2004, K. R. Goodearl; R. B. Warfield, Jr., An Introduction to Noncommutative Noetherian Rings, 2nd edition, Cambridge University Press…. From the entry ideal
• As usual, it is simpler to begin by looking at a more general setting—in this case, commutative rings—before getting involved with polynomial rings.2002, Joseph J. Rotman, Advanced Modern Algebra, 2nd edition, American Mathematical Society, page 295. From the entry commutative ring
• Among commutative rings, the polynomial rings in a finite number of indeterminates enjoy important special properties and are frequently used in applications.1960, Oscar Zariski, Pierre Samuel, Commutative Algebra II, Springer, page 129. From the entry commutative ring
• The classical ring of quotients of a commutative Bezout ring is a (von Neumann) regular local ring if and only if R is a commutative semihereditary local ring.2016, Bohdan Zabavsky, “Type conditions of stable range for identification of qualitative generalized classes of rings”, in arXiv. From the entry semihereditary
• The existence of commutative algebras of Toeplitz operators is not usual, for example there are not non trivial commutative algebras of Toeplitz operators acting on the Hardy space.2010, M. Loaiza, A. Sánchez-Numgaray, “On C*-Algebras of Super Toeplitz Operators with Radial Symbols”, in Roland V. Duduchava, Israel…. From the entry commutative algebra
• Because they possess a rich theory and provide an excellent source of examples and counterexamples, integer-valued polynomial rings have attained some prominence in the theory of non-Noetherian commutative rings.2009, Jesse Elliott, “Some new approaches to integer-valued polynomial rings”, in Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding…. From the entry polynomial ring
• The normalizer of the full orthogonal group within the general linear group can be shown to consist of all (commutative) products of spherical dilatations and orthogonal transformations.2007, Marcelo Epstein, Marek Elzanowski, Material Inhomogeneities and their Evolution: A Geometric Approach, Springer, page 106. From the entry orthogonal group

Meaning of commutative

1. adjective Such that the order in which the operands are taken does not affect their image under the operation.
2. adjective Having a commutative operation.
3. adjective Such that any two sequences of morphisms with the same initial and final positions compose to the same morphism.

Full definition of commutative

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Questions about commutative in a sentence

How do you use commutative in a sentence?

Commutative is used as an adjective. For example: “Addition and multiplication are commutative operations but subtraction and division are not.”

What is a short sentence with commutative?

“Addition and multiplication are commutative operations but subtraction and division are not.”

What does commutative mean?

Commutative means such that the order in which the operands are taken does not affect their image under the operation.