On Galois projective group rings
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in A/α in a finite group G whose order is invertible}. Let AG′ be the fixed subring of A under the action of G′.If A is a Galcis extension of AG′ with Galois group G′ and C is the center of the subring...
| Published in: | International Journal of Mathematics and Mathematical Sciences |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000145 |
| Summary: | Let A be a ring with 1, C the center of A and G′ an
inner automorphism group of A induced by {Uα in A/α in a finite
group G whose order is invertible}. Let AG′ be the fixed subring of
A under the action of G′.If A is a Galcis extension of AG′ with
Galois group G′ and C is the center of the subring ∑αAG′Uα then
A=∑αAG′Uα and the center of AG′ is also C. Moreover, if
∑αAG′Uα is Azumaya over C, then A is a projective group ring. |
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| ISSN: | 0161-1712 1687-0425 |