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New Duality Between Generalized Smash Products and Smash Coproducts(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2007年03期
Page:
10-14
Research Field:
数学
Publishing date:

Info

Title:
New Duality Between Generalized Smash Products and Smash Coproducts
Author(s):
Pan Qunxing; Zhang Liangyun
College of Science,Nanjing Agricultural University,Nanjing 210095,China
Keywords:
H opf algebra;  gen era lized sm ash p roduct;  generalized sm ash coprodu ct;  d imodu le algebra
PACS:
O153.3
DOI:
-
Abstract:
Th is paperm ain ly p roves thatH (A#B ) 0 is isom orph ic toH A 0 ×H B 0 as coa lgeb ras, wh ereH (A# B ) 0 den otes th e n ew dual ity of th e gen eral ized sm ash p roductA# B, and H A0 ×H B0 d enotes th e general ized sm ash coproduct

References:

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[ 2]  Zhang L Y, Chen H X. The new dualities of sm ash product a lgebras and H opf a lgebras in the ca tego ry o f Yetter-Drinfel D modules[ J]. Ch in AnnM a th, 2003, 24A: 473- 482.
[ 3]  Kan H B. The g eneralized sm ash product and coproduct[ J]. Chin AnnM ath, 2000, 21B ( 3) : 381-388.
[ 4]  Zhang L Y, Tong W T. Quantum Y ang-Baxte rH - m odule a lgebras and the ir bra ided products [ J]. Comm A lg, 2003, 31( 5): 2 471- 2 495.
[ 5]  SweedlerM E. H opf A lgebras[M ]. New York: Benjam in, 1969.
[ 6]  Zhang L Y. Long bia lgebras, d imodu le a lgebras and quan tum Y ang- Bax ter modu les over Long bia lgebras[ J] . A ctaM a th S in ica, 2006, 22B ( 4) : 1 261- 1 270.
[ 7]  M ontgom ery S. H opf A lgebras and The irAc tions on R ings[M ]. N ew York: CBM S, 1993

Memo

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Last Update: 2013-05-05