Radicals of semigroup rings of commutative semigroups
Copyright policy )Radicals of semigroup rings of commutative semigroups
This is a survey of results on radicals of semigroup rings of commutative semigroups. Most of the material is concerned with the Jacobson radical, but some other classical radicals and the general Kurosh-Amitsur radicals are also discussed. There are five sections that deal with: 1) descriptions of the radicals, 2) semiprimitivity, 3) nilness and nilpotency of the Jacobson radical, 4) certain aspects of the homogeneity, 5) general radicals. A list of open problems is proposed. The bibliography consists of 74 items.
- DigiZeitschriften Germany
- Stellenbosch University South Africa
semiprimitivity, Semigroup rings, multiplicative semigroups of rings, semigroup rings of commutative semigroups, radicals, Jacobson radical, Article, Jacobson radical, quasimultiplication, 510.mathematics, homogeneity, Ordinary and skew polynomial rings and semigroup rings, Commutative semigroups, Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Kurosh-Amitsur radicals, General radicals and associative rings, survey, nilpotency
semiprimitivity, Semigroup rings, multiplicative semigroups of rings, semigroup rings of commutative semigroups, radicals, Jacobson radical, Article, Jacobson radical, quasimultiplication, 510.mathematics, homogeneity, Ordinary and skew polynomial rings and semigroup rings, Commutative semigroups, Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Kurosh-Amitsur radicals, General radicals and associative rings, survey, nilpotency
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