form an alternating algebra. The exterior algebra is an alternating algebra. The cohomology ring of a topological space is an alternating algebra. The algebra...

In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle...

algebra (pronounced /liː/ LEE) is a vector space g {\displaystyle {\mathfrak {g}}} together with an operation called the Lie bracket, an alternating bilinear...

In mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multilinear map with all arguments belonging to the same...

Look up alternating in Wiktionary, the free dictionary. Alternating may refer to: Alternating algebra, an algebra in which odd-grade elements square to...

anticommutative algebra with the property that x2 = 0 for every element x of odd grade (irrespective of whether 2 is invertible) is called an alternating algebra. Graded-commutative...

abelian Lie algebra, i.e. one in which the Lie bracket is identically 0. exterior algebra, the alternating algebra analog graded-symmetric algebra, a common...

concept of alternating planar algebras first appeared in the work of Hernando Burgos-Soto on the Jones polynomial of alternating tangles. Alternating planar...

exterior algebra is embedded as a subspace of the tensor algebra by means of the alternation map, the tensor product α ⊗ β is not alternating. There is...

as the octonions. Alternative algebras are so named because they are the algebras for which the associator is alternating. The associator is a trilinear...