Problems formulated with adjoint functors 1.3 Adjoint functors as solving optimization problems 1.4 The case of partial orders 2 Formal definitions...

Similarly, the requirement for the ring multiplication to be associative is sometimes dropped, and rings in which the associative law holds are the...

Lie algebras can be factorized into a functor from Lie groups to formal group laws, followed by taking the Lie algebra of the formal group: Lie gro...

Group algebra over a finite group 4.1 Regular representation 4.2 Properties 4.3 Representations of a group algebra 4.4 Center of a group algebra 5 ...

In mathematics , a multiplicative inverse for a number x , denoted by 1 ? x or x ?1 , is a number which when multiplied by x yields the multiplicat...

Noetherian ring   A ring satisfying the ascending chain condition for left ideals is left noetherian ; a ring satisfying the ascending chain condit...

This article takes some care to show how these all represent the same concept, despite a wide variety of notation and terminology in use. Contents ...

If e is both a left identity and a right identity, then it is called a two-sided identity , or simply an identity . An identity with respect to add...

Formal differentiation of series 2.4 Algebraic properties of the formal power series ring 2.5 Topological properties of the formal power series rin...

Semi-local ring Algebra (ring theory) Cohen-Macaulay ring Gorenstein ring Monoid ring Group ring Group algebra Dual number Differential algebra Art...