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ISOMORPHIC MODULAR GROUP ALGEBRAS OF SEMI-COMPLETE PRIMARY ABELIAN GROUPS

  • DANCHEV, PETER V.
  • Published : 2005.02.01

Abstract

Suppose G is a semi-complete abelian p-group and FG ${\cong}$ FH as commutative unitary F-algebras of characteristic p for any fixed group H. Then, it is shown that, G ${\cong}$ H. This improves a result of the author proved in the Proceedings of the American Math. Society (2002) and also completely solves by an another method a long-standing problem of W. May posed in the same Proceedings (1979).

Keywords

semi-complete p-groups;direct factors;isomorphisms

References

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Cited by

  1. MODULAR ABELIAN GROUP ALGEBRAS vol.03, pp.02, 2010, https://doi.org/10.1142/S1793557110000192