논문KCI 등재
Isomorphic modular group Algebras of semi-complete primary Abelian groups
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Abstract
Suppose G is a semi-complete abelian p-group andFGcong FH as commutative unitary F-algebras of characteristicp for any fixed group H. Then, it is shown that, Gcong H.This improves a result of the author proved in the Proceedings ofthe American Math. Society (2002) and also completely solves by ananother method a long-standing problem of W. May posed in the sameProceedings (1979).
참고문헌 (11)
- "and E. Walker paper Groupalgebras of abelian groups jour Rend. Sem. Mat. Univ. Padova vol69 1983 pages 41--50"
- "paper Commutative group algebrasof cardinality aleph_1", 125(4), pp.589~ (2002)
- "Commutative group algebras of directsums of $sigma$-summable abelian", 45, pp.1~15 (2003)
- "Invariances in commutative andnoncommutative group algebras", 54, pp.5~8 (2001)
- "Isomorphism of commutative groupalgebras of closed $p$-groups and $p$-local algebraically compact" (1937)
- "Isomorphism of commutative group algebras of mixed splitting groupsof 101", 101, pp.51~58
- "The splitting problem and the directfactor problem in modular abelian group algebras", 15(3-4), pp.217~226 (2000)
- "Units in abelian group rings of prime", 48(8), pp.5~8
- "and E. Walker paperCountable direct sums of torsion complete groups jour Proc. Amer.Math. Soc. vol 17", pp.763~
- "W. May paper Modular group algebras of totallyprojective $p$-primary groups jour Proc. Amer. Math. Soc. vol76 1979 pages no. 1", pp.31~
- "The direct factor problem for modularabelian group algebras jour Contemp. Math. vol93 1989pages 303--308"
관련 논문AI추천
Isomorphism of modular group algebras of abelian groups with semi-complete $p$-primary componentsPeter Danchev대한수학회 · 대한수학회논문집2007 · 제22권 제2호Simple Presentness in Modular Group Algebras over Highly-generated RingsPeter V. Danchev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호Commutative Group Algebras of Direct Sums of Countable Abelian GroupsPeter Danchev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호Augmentation quotients of integral group rings이준걸대한수학회 · 대한수학회보2008 · 제45권 제1호The structure of the radical of the non semisimple group rings유원석강원경기수학회 · 한국수학논문집2010 · 제18권 제1호Semi-Primeness of the Endomorphism Ring of a Projective ModuleSoon-Sook Bae대한수학회 · 대한수학회논문집2003 · 제18권 제4호
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