-
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...
-
compact Hausdorff space. C*-
algebras were
first considered primarily for
their use in
quantum mechanics to
model algebras of
physical observables. This...
-
algebras are to set
theory and
ordinary propositional logic.
Interior algebras form a
variety of
modal algebras. An
interior algebra is an
algebraic structure...
- The *-
algebras of
bounded operators that are
closed in the norm
topology are C*-
algebras, so in
particular any von
Neumann algebra is a C*-
algebra. The...
-
article ****ociative
algebras are ****umed to have a
multiplicative identity,
denoted 1; they are
sometimes called unital ****ociative
algebras for clarification...
-
stronger observation that, up to isomorphism, all
Boolean algebras are concrete. The
Boolean algebras so far have all been concrete,
consisting of bit vectors...
- 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...
- Also, in probability, σ-
algebras are
pivotal in the
definition of
conditional expectation. In statistics, (sub) σ-
algebras are
needed for the formal...
