منابع مشابه
Locally finite profinite rings
We investigate the structure of locally finite profinite rings. We classify (Jacobson-) semisimple locally finite profinite rings as products of complete matrix rings of bounded cardinality over finite fields, and we prove that the Jacobson radical of any locally finite profinite ring is nil of finite nilexponent. Our results apply to the context of small compact G-rings, where we also obtain a...
متن کاملFinite Commutative Rings
‡ Every function on a finite residue class ring D/I of a Dedekind domain D is induced by an integer-valued polynomial on D that preserves congruences mod I if and only if I is a power of a prime ideal. If R is a finite commutative local ring with maximal ideal P of nilpotency N satisfying for all a, b∈R, if ab∈ P then a∈ P k , b∈ P j with k+ j ≥min(n,N), we determine the number of functions (as...
متن کاملPolynomial Equivalence of Finite Rings
We prove that Zpn and Zp[t]/(t) are polynomially equivalent if and only if n ≤ 2 or p = 8. For the proof, employing Bernoulli numbers, we provide the polynomials which compute the carry-on part for the addition and multiplication in base p. As a corollary, we characterize finite rings of p elements up to polynomial equivalence.
متن کاملFinite Generation of Canonical Rings
We prove the finite generation of canonical rings of smooth projective varieties of general type defined over complex numbers. MSC 32J25
متن کاملCyclic codes over finite rings
It is well known that cyclic linear codes of length n over a (finite) field F can be characterized in terms of the factors of the polynomial x"-1 in F[x]. This paper investigates cyclic linear codes over arbitrary (not necessarily commutative) finite tings and proves the above characterization to be true for a large class of such codes over these rings. (~) 1997 Elsevier Science B.V. All rights...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1979
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700015639