Automorphisms of completely primary finite rings of characteristic p

Chiteng'a John Chikunji. "Automorphisms of completely primary finite rings of characteristic p." Colloquium Mathematicae 111.1 (2008): 91-113. <http://eudml.org/doc/283996>.

@article{ChitengaJohnChikunji2008,
abstract = {A completely primary ring is a ring R with identity 1 ≠ 0 whose subset of zero-divisors forms the unique maximal ideal . We determine the structure of the group of automorphisms Aut(R) of a completely primary finite ring R of characteristic p, such that if is the Jacobson radical of R, then ³ = (0), ² ≠ (0), the annihilator of coincides with ² and $R/ ≅ \{GF\}(p^\{r\})$, the finite field of $p^\{r\}$ elements, for any prime p and any positive integer r.},
author = {Chiteng'a John Chikunji},
journal = {Colloquium Mathematicae},
keywords = {automorphism groups; completely primary finite rings; finite fields},
language = {eng},
number = {1},
pages = {91-113},
title = {Automorphisms of completely primary finite rings of characteristic p},
url = {http://eudml.org/doc/283996},
volume = {111},
year = {2008},
}

TY - JOUR
AU - Chiteng'a John Chikunji
TI - Automorphisms of completely primary finite rings of characteristic p
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 1
SP - 91
EP - 113
AB - A completely primary ring is a ring R with identity 1 ≠ 0 whose subset of zero-divisors forms the unique maximal ideal . We determine the structure of the group of automorphisms Aut(R) of a completely primary finite ring R of characteristic p, such that if is the Jacobson radical of R, then ³ = (0), ² ≠ (0), the annihilator of coincides with ² and $R/ ≅ {GF}(p^{r})$, the finite field of $p^{r}$ elements, for any prime p and any positive integer r.
LA - eng
KW - automorphism groups; completely primary finite rings; finite fields
UR - http://eudml.org/doc/283996
ER -