Higman has proved a classical result giving necessary and sufficient conditions for the units of an integral group ring to be trivial. In this paper we extend this result to loop rings of some diassociative loops.
โฆ LIBER โฆ
Units of Integral Semigroup Rings
โ Scribed by Eric Jespers; Duzhong Wang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 207 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
It is proved that both the Bass cyclic and bicyclic units generate a subgroup of ลฝ . finite index in U U ZS , assuming S is a finite semigroup such that QS is semisimple Artinian and does not contain certain types of simple components. แฎ 1996 Aca- demic Press, Inc.
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