### Some articles on *algebras, algebra*:

Statistical Dependence - Definition - Independent σ-

... by the following definition of independence for σ-

**algebras**... by the following definition of independence for σ-

**algebras**... Let (Ω, Σ, Pr) be a probability space and let A and B be two sub-σ-**algebras**of Σ ... B are said to be independent if, whenever A ∈ A and B ∈ B, Likewise, a finite family of σ-**algebras**is said to be independent if and only if for all and an infinite family of σ-**algebras**is said to be ...Moufang Polygon - Quadrangular

... A potential use for quadrangular

**Algebras**... A potential use for quadrangular

**algebras**is to analyze two open questions ... For the E8 hexagons this can be rephrased as a question on quadratic Jordan**algebras**, and for the E8 quadrangles it can now be rephrased in terms of quadrangular**algebras**...Capelli's Identity - Generalizations

... Most of them are based on the Lie

... Most of them are based on the Lie

**algebra**point of view ... Such generalizations consist of changing Lie**algebra**to simple Lie**algebras**and their super (q), and current versions ... that the identity is intimately related with semi-simple Lie**algebras**...Cylindric Algebra

... The notion of cylindric

... The notion of cylindric

**algebra**, invented by Alfred Tarski, arises naturally in the algebraization of first-order logic with equality ... This is comparable to the role Boolean**algebras**play for propositional logic ... Indeed, cylindric**algebras**are Boolean**algebras**equipped with additional cylindrification operations that model quantification and equality ...Beyond Superstring Theory - Kac–Moody

... the symmetry used to describe string theory is based on infinite dimensional Lie

**Algebras**... the symmetry used to describe string theory is based on infinite dimensional Lie

**algebras**... Some Kac–Moody**algebras**that have been considered as symmetries for M-theory have been E10 and E11 and their supersymmetric extensions ...Main Site Subjects

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