FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1995, VOLUME 1, NUMBER 4, PAGES 1115-1118
Local semigroup rings
A.Ja.Ovsyannikov
The description of local semigroup algebras over a field of
characteristic p
(if p > 0,
then semigroups are assumed to be locally finite) due to J. Okninsky (1984) is transferred to
semigroup rings over non-radical rings. The following statement is proved.
Let R be a ring,
$R \ne J(R)$,
$char R = 0$
($char R = p > 1$),
S be a semigroup
(respectively, a locally finite semigroup). The semigroup ring
R[S] is local [scalar local] if and
only if R is such a ring
and S is an ideal extension of a
rectangular band (respectively of a completely simple semigroup over
a p-group) by a locally nilpotent semigroup.
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published in Russian.
Location: http://mech.math.msu.su/~fpm/eng/95/954/95423.htm
Last modified: October 15, 1997.