scholarly journals Invariants for commutative group algebras

1971 ◽  
Vol 15 (3) ◽  
pp. 525-531 ◽  
Author(s):  
Warren May
Keyword(s):  
Commutative Group ◽  
Group Algebras

WARFIELD INVARIANTS IN COMMUTATIVE GROUP ALGEBRAS

2008 ◽  
Vol 07 (03) ◽  
pp. 337-346 ◽  
Author(s):  
PETER V. DANCHEV
Keyword(s):  
Abelian Group ◽  
Prime Number ◽  
Group Algebra ◽  
Ordinal Number ◽  
Commutative Group ◽  
Group Algebras

Let F be a field and G an Abelian group. For every prime number q and every ordinal number α we compute only in terms of F and G the Warfield q-invariants Wα, q(VF[G]) of the group VF[G] of all normed units in the group algebra F[G] under some minimal restrictions on F and G. This expands own recent results from (Extracta Mathematicae, 2005) and (Collectanea Mathematicae, 2008).

The Range of Group Algebra Homomorphisms

1997 ◽  
Vol 40 (2) ◽  
pp. 183-192 ◽  
Author(s):  
Andrew G. Kepert
Keyword(s):  
Group Algebra ◽  
Commutative Group ◽  
Group Algebras ◽  
Algebra Homomorphisms

AbstractA characterisation of the range of a homomorphism between two commutative group algebras is presented which implies, among other things, that this range is closed. The work relies mainly on the characterisation of such homomorphisms achieved by P. J. Cohen.

Commutative Group Algebras of Summablep-Groups

2007 ◽  
Vol 35 (4) ◽  
pp. 1275-1289 ◽  
Author(s):  
Peter Danchev
Keyword(s):  
Commutative Group ◽  
Group Algebras
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