Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Simple Presentness in Modular Group Algebras over Highly-generated Rings

  • Danchev, Peter V. (13, General Kutuzov Street, block 7, floor 2, apartment 4)
  • Received : 2004.07.05
  • Published : 2006.03.23
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Abstract

It is proved that if G is a direct sum of countable abelian $p$-groups and R is a special selected commutative unitary highly-generated ring of prime characteristic $p$, which ring is more general than the weakly perfect one, then the group of all normed units V (RG) modulo G, that is V (RG)=G, is a direct sum of countable groups as well. This strengthens a result due to W. May, published in (Proc. Amer. Math. Soc., 1979), that treats the same question but over a perfect ring.

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References

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