- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Isomorphic modular group algebras of semi-complete primary abelian groups Bull. Korean Math. Soc. 2005 Vol. 42, No. 1, 53-56 Published online March 1, 2005 Peter V. Danchev 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 MSC numbers : Primary 20C07; Secondary 16U60, 16S34, 20K10, 20K15 Full-Text :