ISOMORPHIC MODULAR GROUP ALGEBRAS OF SEMI-COMPLETE PRIMARY ABELIAN GROUPS

Title & Authors
ISOMORPHIC MODULAR GROUP ALGEBRAS OF SEMI-COMPLETE PRIMARY ABELIAN GROUPS
DANCHEV, PETER V.;

Abstract
Suppose G is a semi-complete abelian p-group and FG $\small{{\cong}}$ FH as commutative unitary F-algebras of characteristic p for any fixed group H. Then, it is shown that, G $\small{{\cong}}$ 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;
Language
English
Cited by
1.
ISOMORPHISM OF MODULAR GROUP ALGEBRAS OF ABELIAN GROUPS WITH SEMI-COMPLETE p-PRIMARY COMPONENTS,;

대한수학회논문집, 2007. vol.22. 2, pp.157-161
1.
MODULAR ABELIAN GROUP ALGEBRAS, Asian-European Journal of Mathematics, 2010, 03, 02, 275
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