The periodic radical of group rings and incidence algebras

被引：0

作者：

Parmenter, MM

Spiegel, E

Stewart, PN

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1C 5S7, Canada

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[3] Dalhousie Univ, Dept Math Stat & Comp Sci, Halifax, NS B3H 3J5, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1998年 / 41卷 / 04期

关键词：

D O I：

10.4153/CMB-1998-063-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring with I and P(R) the periodic radical of R. We obtain necessary and sufficient conditions for P(RG) = 0 when RG is the group ring of an FC group G and R is commutative. We also obtain a complete description of P(I(X, R)) when I(X, R) is the incidence algebra of a locally finite partially ordered set X and R is commutative.

引用

页码：481 / 487

页数：7

共 10 条

[1] SOME COMMUTATIVITY RESULTS FOR PERIODIC RINGS
BELL, HE
[J]. ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1976, 28 (3-4): : 279 - 283
[2] ON RINGS WITH ENGEL CYCLES
BELL, HE
KLEIN, AA
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1991, 34 (03): : 295 - 300
[3] DIVINSKY N, 1965, RINGS RADICALS
[4] ON THE PERIODIC RADICAL OF A RING
GUO, XZ
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1995, 38 (02): : 215 - 217
[5] ALGEBRAIC IDEALS IN GROUP-RINGS AND TENSOR-PRODUCTS
LAWRENCE, J
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1992, 35 (01): : 99 - 102
[6] Passman D. S., 1977, Pure and Applied Mathematics
[7] GROUP RINGS SEMIGROUP RINGS AND THEIR RADICALS
SCHNEIDE.H
WEISSGLA.J
[J]. JOURNAL OF ALGEBRA, 1967, 5 (01) : 1 - &
[8] Sehgal S. K., 1978, TOPICS GROUP RINGS
[9] Spiegel E., 1997, INCIDENCE ALGEBRAS
[10] SEMI-SIMPLE RADICAL CLASSES
STEWART, PN
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1970, 32 (01) : 249 - &

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