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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.27 No.1
- 발행연도
- 2017.1
- 수록면
- 43 - 48 (6page)
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초록· 키워드
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We find a necessary and sufficient condition only in terms of the abelian p-group G and the perfect field F of characteristic p for the group V (FG) of normalized units in a group ring FG to be decomposed as G(1 + I2(FG;G)), where I(FG;G) is the augmentation ideal in FG. This sheds some light on the long-standing Direct Factor Problem.
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참고문헌 (7)
참고문헌 신청
P.V. Danchev / 2009 / Idempotent-nilpotent units in commutative group rings / Bull. Greek Math. Soc 56:21~28
P.V. Danchev / 2012 / Idempotent-nilpotent units of commutative group rings / Mathematica (Cluj) 54:16~25
P.V. Danchev / 2012 / On decompositions of normed units in abelian group rings / J. Indones. Math. Soc 18:21~29
P.V. Danchev / 2012 / On a decomposition of normed unit groups in commutative group rings / Adv. Appl. Math. Sci 11:271~278
W.L. May / 1976 / Group algebras over nitely generated rings / J. Algebra 38:483~511
P.V. Danchev / 2012 / Idempotent-nilpotent units of commutative group rings / Mathematica (Cluj) 54:16~25
P.V. Danchev / 2012 / On decompositions of normed units in abelian group rings / J. Indones. Math. Soc 18:21~29
P.V. Danchev / 2012 / On a decomposition of normed unit groups in commutative group rings / Adv. Appl. Math. Sci 11:271~278
W.L. May / 1976 / Group algebras over nitely generated rings / J. Algebra 38:483~511
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