commutative semigroup

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• Nowhere commutative semigroup — In mathematics, a nowhere commutative semigroup is a semigroup S such that, for all a and b in S, if ab = ba then a = b.[1] A semigroup S is nowhere commutative if and only if any two elements of S are inverses of each other.[1] Characterization… …   Wikipedia

• Semigroup — This article is about the algebraic structure. For applications to differential equations, see C0 semigroup. In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup… …   Wikipedia

• Semigroup with involution — In mathematics, in semigroup theory, an involution in a semigroup is a transformation of the semigroup which is its own inverse and which is an anti automorphism of the semigroup. A semigroup in which an involution is defined is called a… …   Wikipedia

• Commutative property — For other uses, see Commute (disambiguation). In mathematics an operation is commutative if changing the order of the operands does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs… …   Wikipedia

• Semigroup — Demi groupe Un demi groupe est un ensemble muni d une loi de composition interne binaire associative. S il possède un élément neutre, on aura affaire à un monoïde. Si la loi est commutative, ce sera un demi groupe commutatif et un semi groupe si… …   Wikipédia en Français

• Numerical semigroup — In mathematics, a numerical semigroup is a special kind of a semigroup. Its underlying set is the set of all nonnegative integers except a finite number and the binary operation is the operation of addition of integers. Also, the integer 0 must… …   Wikipedia

• Bicyclic semigroup — In mathematics, the bicyclic semigroup is an algebraic object important for the structure theory of semigroups. Although it is in fact a monoid, it is usually referred to as simply a semigroup. The first published description of this object was… …   Wikipedia

• 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… …   Wikipedia

• Symmetric inverse semigroup — In modern algebra, the set mathcal{I} X of all partial one one transformations on a set X forms an inverse semigroup, called the symmetric inverse semigroup (or monoid) on X . In general mathcal{I} X is not commutative. More details are available …   Wikipedia

• Journal of Commutative Algebra — The Journal of Commutative Algebra is an international mathematical journal publishing research papers and expository articles in commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation …   Wikipedia

• Special classes of semigroups — In mathematics, a semigroup is a nonempty set together with an associative binary operation. A special class of semigroups is a class of semigroups satisfying additional properties or conditions. Thus the class of commutative semigroups consists… …   Wikipedia