Search for "Algebras" in article titles:

1. Advances in Applied Clifford Algebras: Advances in Applied Clifford Algebras is a peer-reviewed scientific journal that publishes original research papers and also notes, expository and survey articles, book reviews, reproduces abstracts and also reports on conferences and workshops in the area of Clifford algebras ... [100%] 2025-06-06 [Algebra journals] [Springer Science+Business Media academic journals]...
2. Advances in Applied Clifford Algebras: Advances in Applied Clifford Algebras is a peer-reviewed scientific journal that publishes original research papers and also notes, expository and survey articles, book reviews, reproduces abstracts and also reports on conferences and workshops in the area of Clifford algebras ... [100%] 2025-06-06 [Mathematics journals]
3. Advances in Applied Clifford Algebras: Advances in Applied Clifford Algebras es una revista científica revisada por pares que publica artículos de investigación originales y también notas, artículos expositivos y de encuesta, reseñas de libros, reproduce resúmenes y también informes sobre conferencias y talleres en el ... [100%] 2025-06-06
4. Linear Lie algebras: A linear (or "classical") Lie algebras is a Lie algebra whose elements can be represented as matrices (or linear transformations over some vector space over a field. See also: sl(n) (special linear Lie algebra) An A-series Lie algebra ... [100%] 2023-11-07 [Lie algebra]
5. Generalized function algebras: Let $\Omega$ be an open subset of ${\bf R} ^ { n }$. A generalized function algebra is an associative, commutative differential algebra $\mathcal{A} ( \Omega )$ containing the space of distributions $\mathcal{D} ^ { \prime } ( \Omega )$ or other distribution spaces as a linear subspace ... (Mathematics) [100%] 2023-09-03
6. Rings and algebras: Sets with two binary operations, usually called addition and multiplication. Such a set with an addition and a multiplication is called a ring if: 1) it is an Abelian group with respect to addition (in particular, the ring has a ... (Mathematics) [100%] 2024-01-02
7. Sheaf of algebras: In algebraic geometry, a sheaf of algebras on a ringed space X is a sheaf of commutative rings on X that is also a sheaf of O X {\displaystyle {\mathcal {O}}_{X}} -modules. It is quasi-coherent if it ... [100%] 2023-01-10 [Sheaf theory] [Morphisms of schemes]...
8. Cohomology of algebras: The groups $$ H ^ {n} ( R, A) = \ \mathrm{Ext} _ {R} ^ {n} ( K, A),\ \ n \geq 0 $$ (see Functor $ \mathop{\rm Ext} $), where $ R $ is an associative algebra over a commutative ring $ K $ with a fixed $ K $-algebra homomorphism $ \epsilon : R ... (Mathematics) [100%] 2023-10-13
9. Classical Lie algebras: The classical Lie algebras are finite-dimensional Lie algebras over a field which can be classified into four types \displaystyle{ A_n }[/math], \displaystyle{ B_n }[/math], \displaystyle{ C_n }[/math] and \displaystyle{ D_n }[/math], where for \displaystyle{ \mathfrak{gl}(n) }[/math] the ... [100%] 2025-03-23 [Algebra] [Lie algebras]...
10. Lie algebras, variety of: over a ring $ k $ A class $ \mathfrak V $ of Lie algebras (cf. Lie algebra) over $ k $ that satisfy a fixed system of identities. (Mathematics) [86%] 2024-01-01
11. Boolean algebras canonically defined: Boolean algebra is a mathematically rich branch of abstract algebra. Stanford Encyclopaedia of Philosophy defines Boolean algebra as 'the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation.' Just as ... [86%] 2022-08-01 [Boolean algebra]
12. Variety of universal algebras: $\newcommand{\parens}{\mathopen{}\left(#1\right)\mathclose{}}$ $\newcommand{\braces}{\mathopen{}\left\{#1\right\}\mathclose{}}$ A class of universal algebras (cf. Universal algebra) defined by a system of identities (cf. (Mathematics) [86%] 2023-10-18
13. Classification of Clifford algebras: In abstract algebra, in particular in the theory of nondegenerate quadratic forms on vector spaces, the structures of finite-dimensional real and complex Clifford algebras for a nondegenerate quadratic form have been completely classified. In each case, the Clifford algebra ... [86%] 2024-01-06 [Ring theory] [Clifford algebras]...
14. Classification of Clifford algebras: In abstract algebra, in particular in the theory of nondegenerate quadratic forms on vector spaces, the structures of finite-dimensional real and complex Clifford algebras for a nondegenerate quadratic form have been completely classified. In each case, the Clifford algebra ... [86%] 2023-11-10 [Ring theory] [Clifford algebras]...
15. Cohomology of Banach algebras: The groups $ H ^ {n} ( A, X) $, $ n \geq 0 $, where $ X $ is a two-sided Banach module over a Banach algebra $ A $, defined as the cohomology groups of the cochain complex $$ 0 \rightarrow C ^ {0} ( A, X) \rightarrow \dots \rightarrow ... (Mathematics) [86%] 2023-10-19
16. Multipliers-of-C -algebras: A $C ^ { * }$-algebra $A$ of operators on some Hilbert space $\mathcal{H}$ may be viewed as a non-commutative generalization of a function algebra $C _ { 0 } ( \Omega )$ acting as multiplication operators on some $L^{2}$-space associated with a ... (Mathematics) [86%] 2023-09-14
17. Associative rings and algebras: Associative rings and algebras are rings and algebras with an associative multiplication, i.e., sets with two binary operations, addition $+$ and multiplication $\cdot$, that are Abelian groups with respect to addition and semi-groups with respect to multiplication, and in ... (Mathematics) [86%] 2023-11-27
18. Colombeau generalized function algebras: Let $\Omega$ be an open subset of ${\bf R} ^ { n }$, and let $\mathcal{D} ( \Omega )$ be the algebra of compactly supported smooth functions. In the original definition, J.F. (Mathematics) [86%] 2023-10-22
19. Glossary of Lie algebras: This is a glossary for the terminology applied in the mathematical theories of Lie algebras. The statements in this glossary mainly focus on the algebraic sides of the concepts, without referring to Lie groups or other related subjects. [86%] 2024-01-01 [Glossaries of mathematics] [Lie algebras]...
20. Cohomology of Lie algebras: A special case of cohomology of algebras. Let $ \mathfrak G $ be a Lie algebra over a commutative ring $ K $ with an identity, and suppose that a left $ \mathfrak G $- module $ V $ has been given, that is, a $ K $- linear representation ... (Mathematics) [86%] 2023-10-22
21. CCR and CAR algebras: In mathematics and physics CCR algebras (after canonical commutation relations) and CAR algebras (after canonical anticommutation relations) arise from the quantum mechanical study of bosons and fermions respectively. They play a prominent role in quantum statistical mechanics and quantum field ... (Physics) [86%] 2023-08-31 [Quantum field theory] [Functional analysis]...
22. Alternative rings and algebras: An alternative ring is a ring in which every two elements generate an associative subring; an alternative algebra is a (linear) algebra that is an alternative ring. By a theorem of >E. (Mathematics) [86%] 2023-11-27 [Nonassociative rings and algebras]
23. Non-associative rings and algebras: Sets with two binary operations $+$ and $\cdot$, satisfying all the axioms of associative rings and algebras except possibly the associativity of multiplication. The first examples of non-associative rings and algebras that are not associative appeared in the mid-19th ... (Mathematics) [77%] 2023-10-22 [Nonassociative rings and algebras]
24. Frobenius theorem (real division algebras): In mathematics, more specifically in abstract algebra, the Frobenius theorem, proved by Ferdinand Georg Frobenius in 1877, characterizes the finite-dimensional associative division algebras over the real numbers. According to the theorem, every such algebra is isomorphic to one of ... (Real division algebras) [77%] 2023-09-27 [Algebras] [Quaternions]...
25. Free product of associative algebras: In algebra, the free product (coproduct) of a family of associative algebras \displaystyle{ A_i, i \in I }[/math] over a commutative ring R is the associative algebra over R that is, roughly, defined by the generators and the relations of ... [77%] 2022-12-11 [Algebra]
26. Radical of rings and algebras: A concept that first arose in the classical structure theory of finite-dimensional algebras at the beginning of the 20th century. Initially the radical was taken to be the largest nilpotent ideal of a finite-dimensional associative algebra. (Mathematics) [77%] 2023-10-17
27. Representation theory of Hopf algebras: In abstract algebra, a representation of a Hopf algebra is a representation of its underlying associative algebra. That is, a representation of a Hopf algebra H over a field K is a K-vector space V with an action H ... [77%] 2023-11-22 [Hopf algebras] [Representation theory]...
28. Automatic continuity for Banach algebras: The basic question in automatic continuity theory is the following. Let $A$ and $B$ be Banach algebras (cf. (Mathematics) [77%] 2023-10-24
29. Differential calculus over commutative algebras: In mathematics the differential calculus over commutative algebras is a part of commutative algebra based on the observation that most concepts known from classical differential calculus can be formulated in purely algebraic terms. Instances of this are: \displaystyle{ \left[f_k ... [77%] 2024-12-30 [Commutative algebra] [Differential calculus]...
30. Schröder–Bernstein theorems for operator algebras: The Schröder–Bernstein theorem from set theory has analogs in the context operator algebras. This article discusses such operator-algebraic results. [70%] 2023-02-14 [Von Neumann algebras] [C*-algebras]...