| Tartalom: |
http://www.math.klte.hu/publi/contents.php?szam=51 |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
Structure of normal twisted group rings
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| Létrehozó: |
Bódi, Viktor
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| Kiadó: |
Debreceni Egyetem, Matematika Intézet
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| Dátum: |
1997
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| Téma: |
QA Mathematics / matematika
QA72 Algebra / algebra
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| Tartalmi leírás: |
Let K(lambda)G be the twisted group ring of a group G over a commutative ring K with 1, and let lambda be a factor set (2-cocycle) of G over K. Suppose f:G ?> U(K) is a map from G onto the group of units U(K) of the ring K satisfying f(1) = 1. If x = Sigma(g is an element of G)alpha(g)u(g) is an element of K(lambda)G then we denote Sigma(g is an element of G)alpha(g)f(g)u(g)(-1) by x(f) and assume that the map x ?> x(f) is an involution of K(lambda)G. In this paper we describe those groups G and commutative rings K for which K(lambda)G is f-normal, i.e. xx(f)=x(f)x for all x is an element of K(lambda)G.
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| Típus: |
Article
PeerReviewed
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| Formátum: |
application/pdf
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| Azonosító: |
Bódi, Viktor (1997) Structure of normal twisted group rings. Publicationes Mathematicae Debrecen, 51 (3-4). pp. 279-293. ISSN 0033-3883
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| Kapcsolat: |
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