-
multiplication operation in an
algebra may or may not be ****ociative,
leading to the
notions of ****ociative
algebras and non-****ociative
algebras.
Given an integer...
-
understands universal algebra as the
study of one type of
algebraic structures known as
universal algebras.
Universal algebras are
defined in a general...
- infinite-dimensional Lie
algebra over R {\displaystyle \mathbb {R} } . The Kac–Moody
algebras are a
large class of infinite-dimensional Lie
algebras, say over C {\displaystyle...
- most
familiar Clifford algebras, the
orthogonal Clifford algebras, are also
referred to as (pseudo-)Riemannian
Clifford algebras, as
distinct from symplectic...
-
stronger observation that, up to isomorphism, all
Boolean algebras are concrete. The
Boolean algebras so far have all been concrete,
consisting of bit vectors...
-
Algebraic notation is the
standard method for
recording and
describing the
moves in a game of chess. It is
based on a
system of
coordinates to uniquely...
-
compact Hausdorff space. C*-
algebras were
first considered primarily for
their use in
quantum mechanics to
model algebras of
physical observables. This...
-
article ****ociative
algebras are ****umed to have a
multiplicative identity,
denoted 1; they are
sometimes called unital ****ociative
algebras for clarification...
- Also, in probability, σ-
algebras are
pivotal in the
definition of
conditional expectation. In statistics, (sub) σ-
algebras are
needed for the formal...
-
matrix multiplication). The
algebraic objects amenable to such a
description include groups, ****ociative
algebras and Lie
algebras. The most
prominent of these...
