Little dimension and the improved new intersection theorem
نویسندگان
چکیده
منابع مشابه
Frobenius kernel and Wedderburn's little theorem
We give a new proof of the well known Wedderburn's little theorem (1905) that a finite division ring is commutative. We apply the concept of Frobenius kernel in Frobenius representation theorem in finite group theory to build a proof.
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متن کاملThe Krull Intersection Theorem
Let R be a commutative ring, / an ideal in R, and A an i?-module. We always have 0 £= 0 £ I(\~=1 I A £ f|ϊ=i JM. where S is the multiplicatively closed set {1 — i\ie 1} and 0 = 0s Π A = {α G A13S 6 S 3 sα = 0}. It is of interest to know when some containment can be replaced by equality. The Krull intersection theorem states that for R Noetherian and A finitely generated I Π*=i I A = Π~=i IA. Si...
متن کاملfrobenius kernel and wedderburn's little theorem
we give a new proof of the well known wedderburn's little theorem (1905) that a finite division ring is commutative. we apply the concept of frobenius kernel in frobenius representation theorem in finite group theory to build a proof.
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2020
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-119740