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Central units in salternative loop rings

✍ Scribed by E. G. Goodaire; C. Polcino Milies; M. M. Parmenter

Publisher
Springer
Year
2005
Tongue
English
Weight
99 KB
Volume
85
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

Units in Integral Loop Rings
Units in Integral Loop Rings
✍ Luiz G.X. de Barros; Stanley O. Juriaans πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 161 KB

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.

Alternative Loop Rings with Solvable Uni
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✍ Edgar G Goodaire; CΓ©sar Polcino Milies πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 129 KB

Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but not associative, ring. We find necessary and sufficient conditions Ε½ . for the Moufang unit loop of RL to be solvable when R is the ring of rational integers or an arbitrary field.