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 , the finite field of elements, for any prime p and any positive integer r.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-9,
author = {Chiteng'a John Chikunji},
title = {Automorphisms of completely primary finite rings of characteristic p},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {91-113},
zbl = {1142.16008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-9}
}
Chiteng'a John Chikunji. Automorphisms of completely primary finite rings of characteristic p. Colloquium Mathematicae, Tome 111 (2008) pp. 91-113. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm111-1-9/