- Frobenius ring
- Математика: кольцо Фробениуса
Универсальный англо-русский словарь. Академик.ру. 2011.
Frobenius ring
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Frobenius algebra — In mathematics, especially in the fields of representation theory and module theory, a Frobenius algebra is a finite dimensional unital associative algebra with a special kind of bilinear form which gives the algebras particularly nice duality… … Wikipedia
Frobenius endomorphism — In commutative algebra and field theory, which are branches of mathematics, the Frobenius endomorphism (after Ferdinand Georg Frobenius) is a special endomorphism of rings with prime characteristic p , a class importantly including fields. The… … Wikipedia
Frobenius-Schur indicator — In mathematics the Schur indicator, named after Issai Schur, or Frobenius Schur indicator describes what invariant bilinear forms a given irreducible representation of a compact group on a complex vector space has, and can be used to classify the … Wikipedia
Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms … Wikipedia
Frobenius-Normalform — Die Frobenius Normalform (nach Ferdinand Georg Frobenius) oder rationale Normalform einer quadratischen Matrix A mit Einträgen in einem beliebigen Körper K ist eine transformierte Matrix T − 1AT (mit invertierbarer Matrix T), die eine spezielle… … Deutsch Wikipedia
Frobenius-Homomorphismus — In der Algebra bezeichnet der Begriff Frobeniushomomorphismus (auch Frobeniusmorphismus oder kurz Frobenius, nach dem deutschen Mathematiker Ferdinand Georg Frobenius) einen Endomorphismus von Ringen der Charakteristik p. Definition: Sei R ein… … Deutsch Wikipedia
Frobenius theorem (real division algebras) — In mathematics, more specifically in abstract algebra, the Frobenius theorem, proved by Ferdinand Georg Frobenius in 1877, characterizes the finite dimensional associative division algebras over the real numbers. The theorem proves that the only… … Wikipedia
Frobenius-Norm — Dieser Artikel erklärt neben den gleichbedeutenden Begriffen normierter Raum und normierter Vektorraum per Weiterleitung auch die Begriffe Norm (Mathematik), Vektornorm, Halbnorm (Seminorm), Operatornorm, Matrixnorm und Frobeniusnorm. normierter… … Deutsch Wikipedia
Arithmetic and geometric Frobenius — In mathematics, the Frobenius endomorphism is defined in any commutative ring R that has characteristic p , where p is a prime number. Namely, the mapping φ that takes r in R to r p is a ring endomorphism of R .The image of φ is then R p , the… … Wikipedia
Group ring — This page discusses the algebraic group ring of a discrete group; for the case of a topological group see group algebra, and for a general group see Group Hopf algebra. In algebra, a group ring is a free module and at the same time a ring,… … Wikipedia
Matrix ring — In abstract algebra, a matrix ring is any collection of matrices forming a ring under matrix addition and matrix multiplication. The set of n×n matrices with entries from another ring is a matrix ring, as well as some subsets of infinite matrices … Wikipedia
