endomorphism

  • 31p-derivation — In mathematics, more specifically differential algebra, a p derivation (for p a prime number) on a ring R, is a mapping from R to R that satisfies certain conditions outlined directly below. The notion of a p derivation is related to that of a… …

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  • 32Carmichael number — In number theory, a Carmichael number is a composite positive integer n which satisfies the congruence b^{n 1} equiv 1 pmod{n} for all integers b which are relatively prime to n (see modular arithmetic). They are named for Robert Carmichael. The… …

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  • 33Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …

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  • 34Group homomorphism — In mathematics, given two groups ( G , *) and ( H , ·), a group homomorphism from ( G , *) to ( H , ·) is a function h : G → H such that for all u and v in G it holds that: h(u*v) = h(u) h(v) where the group operation on the left hand side of the …

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  • 35Michael Atiyah — Sir Michael Atiyah Born 22 April 1929 (1929 04 22) (age 82) …

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  • 36Cyclic group — Group theory Group theory …

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  • 37Preadditive category — In mathematics, specifically in category theory, a preadditive category is a category that is enriched over the monoidal category of abelian groups. In other words, the category C is preadditive if every hom set Hom(A,B) in C has the structure of …

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  • 38Local ring — In abstract algebra, more particularly in ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called local behaviour , in the sense of functions defined on varieties or manifolds, or of… …

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  • 39Diagonal matrix — In linear algebra, a diagonal matrix is a matrix (usually a square matrix) in which the entries outside the main diagonal (↘) are all zero. The diagonal entries themselves may or may not be zero. Thus, the matrix D = (di,j) with n columns and n… …

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  • 40Module (mathematics) — For other uses, see Module (disambiguation). In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space, wherein the corresponding scalars are allowed to lie in an arbitrary ring. Modules also… …

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