The regular radical of semigroup rings of commutative semigroups
1992 ◽
Vol 34
(2)
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pp. 133-141
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Keyword(s):
A description of regular group rings is well known (see [12]). Various authors have considered regular semigroup rings (see [17], [8], [10], [11], [4]). These rings have been characterized for many important classes of semigroups, although the general problem turns out to be rather difficult and still has not got a complete solution. It seems natural to describe the regular radical in semigroup rings for semigroups of the classes mentioned. In [10], the regular semigroup rings of commutative semigroups were described. The aim of the present paper is to characterize the regular radical ρ(R[S]) for each associative ring R and commutative semigroup S.
1990 ◽
Vol 108
(3)
◽
pp. 429-433
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2021 ◽
Vol 12
(3)
◽
pp. 5150-5155
1986 ◽
Vol 99
(3)
◽
pp. 435-445
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Keyword(s):
1969 ◽
Vol 21
◽
pp. 865-875
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Keyword(s):
2008 ◽
Vol 145
(3)
◽
pp. 579-586
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Keyword(s):
1993 ◽
Vol 123
(5)
◽
pp. 951-957
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1984 ◽
Vol 25
(1)
◽
pp. 37-44
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