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searching for Direct sum of modules 6 found (18 total)

Coproduct (2,130 words) [view diff] exact match in snippet view article find links to article

and of topological spaces, the free product of groups, and the direct sum of modules and vector spaces. The coproduct of a family of objects is essentially

Algebraic character (467 words) [view diff] exact match in snippet view article find links to article

locally-finite weight modules and are additive, i.e. the character of a direct sum of modules is the sum of their characters. On the other hand, although one

*-algebra (1,359 words) [view diff] exact match in snippet view article find links to article

symmetrizing and anti-symmetrizing, so the algebra decomposes as a direct sum of modules (vector spaces if the *-ring is a field) of symmetric and anti-symmetric

Eilenberg–Mazur swindle (1,099 words) [view diff] exact match in snippet view article find links to article

n-sphere.) In algebra the addition used in the swindle is usually the direct sum of modules over a ring. Example: A typical application of the Eilenberg swindle

Andor Kertész (mathematician) (902 words) [view diff] exact match in snippet view article

also interested in the history of mathematics. He revealed the direct sum of modules and developed the general theory of linear equations. He also made

Associative algebra (4,261 words) [view diff] exact match in snippet view article find links to article

multiplicative structure). Given a module M over a commutative ring R, the direct sum of modules R ⊕ M has a structure of an R-algebra by thinking M consists of