Noun:

बीजगणित,

algebras's Usage Examples:

Operads generalize the various associativity properties already observed in algebras and coalgebras.

analysis, Tomita–Takesaki theory is a method for constructing modular automorphisms of von Neumann algebras from the polar decomposition of a certain involution.

Some examples of subalgebras are subgroups, submonoids, subrings, subfields, subalgebras of algebras over a field, or induced subgraphs.

can be used to define Clifford algebras and Jordan algebras, and in the derivation of the Dirac equation in particle physics.

of operator algebras are phrased in algebraic terms, while the techniques used are highly analytic.

algebras, algebraic groups and p-adic number analogues, making it harder to summarise the facts into a unified theory.

the modal logic S4, and the connection between interior algebras and preorders is deeply related to their connection with modal logic.

gametic algebras, Bernstein algebras, copular algebras, zygotic algebras, and baric algebras (also called weighted algebra).

algebraically, using amalgamation theorems for the variety of algebras representing the logic.

list of simple Lie groups can be used to read off the list of simple Lie algebras and Riemannian symmetric spaces.

common generalization both of K-homology and K-theory as an additive bivariant functor on separable C*-algebras.

algebra is called subdirectly irreducible if it is not subdirectly representable by "simpler" algebras.

Synonyms:

pure mathematics, matrix algebra, quadratics, linear algebra, vector algebra,