본문 바로가기
KERD
논문KCI 등재

The structure of the radical of the non semisimple group rings

유원석
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2010.03|한국수학논문집 (Korean Journal of Mathematics)|제18권 제1호|pp. 97-103

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Jacobson radicalgroup rings
주제분류수학

초록

It is well known that the group ring K[G] has the non-trivial Jacobson radical if K is a field of characteristic p and G is a finite group of which order is divided by a prime p. This paper is concerned with the structure of the Jacobson radical of such a group ring.

Abstract

It is well known that the group ring K[G] has the non-trivial Jacobson radical if K is a field of characteristic p and G is a finite group of which order is divided by a prime p. This paper is concerned with the structure of the Jacobson radical of such a group ring.

참고문헌 (9)

  1. C.W. Curtis, "Representation theory of finite groups and associate algebras" (2001), Wiley
  2. N. Jacobson, "Structure of rings" (1984), Amer. Math. Soc. Colloq. Publ.
  3. G. Karpilovsky, "Dimensions of irreducible modules over twisted group algebra", Arch. Math. (basel), 45, pp.232~327 (1985)
  4. F. Kasch, "Modules and rings" (1982), London Mathe-matical Society Monograph
  5. N.H. McCoy, "Theory of rings" (1964), Macmillan Company
  6. D.S. Passman, "Radicals of twisted group rings", London Math. Soc., 21, pp.409~437 (1970)
  7. T.Y. Lam, "Lectures on modules and rings" (1999), Springer-Verlag
  8. M. Suzuki, "Group theory I, II" (1986), Springer-Verlag
  9. F.A. Szasz, "Radicals of rings" (1981), Wiley

관련 논문AI추천

Computation of Wedderburn decomposition of groups algebras from their subalgebraGaurav Mittal, Rajendra Kumar Sharma대한수학회 · 대한수학회보2022 · 제59권 제3호Augmentation quotients of integral group rings이준걸대한수학회 · 대한수학회보2008 · 제45권 제1호Structure of some classes of semisimple group algebras over finite fieldsJ. B. Srivastava, Neha Makhijani, Rajendra Kumar Sharma대한수학회 · 대한수학회보2014 · 제51권 제6호DECOMPOSING NORMED UNITS IN COMMUTATIVE MODULAR GROUP RINGSPeter V. Danchev장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호Ring structures concerning factorization modulo radicals이양, 김홍기, Hai Lan Jin대한수학회 · 대한수학회보2017 · 제54권 제4호Abelian property concerning factorization modulo radicals이양, 김동현, 김재민, 김재의, 김태형, 노진환, 류성주, 이유선, 이지영, 채동현, 최정민강원경기수학회 · 한국수학논문집2016 · 제24권 제4호

이 간행물의 다른 논문 (10건)

Almost homomorphisms between Banach algebras박춘길, 이성진pp. 1-10Fixed degree theorems for fuzzy mappings in symmetric spaces조성훈, 배승정pp. 11-19Some geometric results on a particular solution of Einstein's equation이종우pp. 21-28Fermat-type equations for Mobius transformations김동일pp. 29-35Locally divided domains of the form D[X]Nv장규환pp. 37-43
원문 보기