In mathematics, an endomorphism is a morphism from a mathematical object to itself. An endomorphism that is also an isomorphism is an automorphism. For...
5 KB (583 words) - 17:39, 11 March 2024
under consideration. The endomorphism ring consequently encodes several internal properties of the object. As the endomorphism ring is often an algebra...
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algebra and field theory, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of commutative rings with prime characteristic...
27 KB (4,337 words) - 18:28, 1 June 2024
Linear map (redirect from Linear endomorphism)
case where V = W {\displaystyle V=W} , a linear map is called a linear endomorphism. Sometimes the term linear operator refers to this case, but the term...
43 KB (7,001 words) - 21:10, 13 July 2024
Ring homomorphism (redirect from Ring endomorphism)
of prime characteristic p, R → R, x → xp is a ring endomorphism called the Frobenius endomorphism. If R and S are rings, the zero function from R to S...
12 KB (1,635 words) - 20:10, 2 May 2024
Trace (linear algebra) (redirect from Trace of an endomorphism)
In linear algebra, the trace of a square matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal (from the upper left to the...
36 KB (5,385 words) - 00:34, 24 September 2024
Complex multiplication (redirect from Endomorphism ring of an elliptic curve)
multiplication (CM) is the theory of elliptic curves E that have an endomorphism ring larger than the integers. Put another way, it contains the theory...
15 KB (2,071 words) - 23:40, 18 June 2024
Module homomorphism (redirect from Module endomorphism)
homomorphisms. A module homomorphism from a module M to itself is called an endomorphism and an isomorphism from M to itself an automorphism. One writes End R...
14 KB (2,467 words) - 05:00, 20 June 2024
Morphism (section Endomorphisms and automorphisms)
with identical source and target) is an endomorphism of X. A split endomorphism is an idempotent endomorphism f if f admits a decomposition f = h ∘ g...
12 KB (1,499 words) - 00:20, 24 September 2024
Algebra over a field (redirect from Algebra endomorphism)
In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic...
22 KB (2,935 words) - 02:08, 13 August 2024