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A note on algebraic analogs of the cones spectrum

A note on algebraic analogs of the cones spectrum COMMUNICATIONS IN ALGEBRA, 19(4), 1249-1270 A Note on ALGEBRAIC ANALOGS of the CONNES SPECTRUM M. Parvathi and Ram Parkash Sharma Ramanujan Institute for Advanced Study in Mathematics University of Madras Madras - 600 005 I NDI A I NTRODUCTI ON In C 61. S. Montgomery and D. S. Passman proved that the Connes subgroup r is equal to the orthogonal complement of the split center H of the group G , when the ring R is prime and G is abelian . In this paper, using the results of V. K Kharchenko 12,31 , we establish the same relation between and H , when R is G-pr i me and G is abel ian . 1 . PRELI MI NARI ES Throughout this paper R is a K-algebra with 1 , where K is a field with I . Let G be a finite abelian group with 1 , acting on R as K-algebra autornorphisms . We assume that \GI-' E K and K contains all nth roots of unity . n is equal to the order of G . Let G = Horn C G,K 1 be the dual of G . As shown in C61 , R http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Algebra Taylor & Francis

A note on algebraic analogs of the cones spectrum

Communications in Algebra , Volume 19 (4): 22 – Jan 1, 1991

A note on algebraic analogs of the cones spectrum

Communications in Algebra , Volume 19 (4): 22 – Jan 1, 1991

Abstract

COMMUNICATIONS IN ALGEBRA, 19(4), 1249-1270 A Note on ALGEBRAIC ANALOGS of the CONNES SPECTRUM M. Parvathi and Ram Parkash Sharma Ramanujan Institute for Advanced Study in Mathematics University of Madras Madras - 600 005 I NDI A I NTRODUCTI ON In C 61. S. Montgomery and D. S. Passman proved that the Connes subgroup r is equal to the orthogonal complement of the split center H of the group G , when the ring R is prime and G is abelian . In this paper, using the results of V. K Kharchenko 12,31 , we establish the same relation between and H , when R is G-pr i me and G is abel ian . 1 . PRELI MI NARI ES Throughout this paper R is a K-algebra with 1 , where K is a field with I . Let G be a finite abelian group with 1 , acting on R as K-algebra autornorphisms . We assume that \GI-' E K and K contains all nth roots of unity . n is equal to the order of G . Let G = Horn C G,K 1 be the dual of G . As shown in C61 , R

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References (8)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1532-4125
eISSN
0092-7872
DOI
10.1080/00927879108824200
Publisher site
See Article on Publisher Site

Abstract

COMMUNICATIONS IN ALGEBRA, 19(4), 1249-1270 A Note on ALGEBRAIC ANALOGS of the CONNES SPECTRUM M. Parvathi and Ram Parkash Sharma Ramanujan Institute for Advanced Study in Mathematics University of Madras Madras - 600 005 I NDI A I NTRODUCTI ON In C 61. S. Montgomery and D. S. Passman proved that the Connes subgroup r is equal to the orthogonal complement of the split center H of the group G , when the ring R is prime and G is abelian . In this paper, using the results of V. K Kharchenko 12,31 , we establish the same relation between and H , when R is G-pr i me and G is abel ian . 1 . PRELI MI NARI ES Throughout this paper R is a K-algebra with 1 , where K is a field with I . Let G be a finite abelian group with 1 , acting on R as K-algebra autornorphisms . We assume that \GI-' E K and K contains all nth roots of unity . n is equal to the order of G . Let G = Horn C G,K 1 be the dual of G . As shown in C61 , R

Journal

Communications in AlgebraTaylor & Francis

Published: Jan 1, 1991

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