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    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...
    9 KB (1,208 words) - 00:28, 6 March 2024
  • 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
  • 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) - 19:46, 25 October 2024
  • 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) - 13:10, 13 October 2024
  • 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
  • In linear algebra, the trace of a square matrix A, denoted tr(A), is the sum of the elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle...
    37 KB (5,493 words) - 10:51, 23 October 2024
  • 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
  • E. In the case when M = R (assumed unital), the endomorphism ring EndR(R) = R, where each endomorphism arises as left multiplication by a fixed ring element...
    18 KB (2,175 words) - 16:34, 10 May 2024
  • 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