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A RELATION AMONG ASSOCIATIVE ALGEBRAS,BIALGEBRAS AND SEMIGROUP ALGEBRAS
引用本文:李方. A RELATION AMONG ASSOCIATIVE ALGEBRAS,BIALGEBRAS AND SEMIGROUP ALGEBRAS[J]. 东南大学学报, 1994, 0(2)
作者姓名:李方
摘    要:ARELATIONAMONGASSOCIATIVEALGEBRAS,BIALGEBRASANDSEMIGROUPALGEBRASLiFang(李方)(DepartnientofMatheniaticsandMechanics)ARELATIONAMO...


A RELATION AMONG ASSOCIATIVE ALGEBRAS,BIALGEBRAS AND SEMIGROUP ALGEBRAS
Li Fang. A RELATION AMONG ASSOCIATIVE ALGEBRAS,BIALGEBRAS AND SEMIGROUP ALGEBRAS[J]. Journal of Southeast University(English Edition), 1994, 0(2)
Authors:Li Fang
Affiliation:Departnient of Matheniatics and Mechanics
Abstract:Assunie R is an integral domain,let A be an R-algebra,the authorshows that A is the semigroup alsebra over R of a fiJiite nionoid if and only if A is anRfree mudule with a finite basis and has a co-multiplicatiun such that it is a bialsebraand its dual alsebra is a quasi-strongly senii-siniple R-algebra.
Keywords:semigroup algebra  bialgebra  quasi-strongly semisimplicity
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