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Finite-dimensional (*)-serial algebras 被引量:2

Finite-dimensional (*)-serial algebras
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摘要 Let A be a finite-dimensional associative algebra with identity over a field k. In this paper we introduce the concept of (*)-serial algebras which is a generalization of serial algebras. We investigate the properties of (*)-serial algebras, and we obtain suficient and necessary conditions for an associative algebra to be (*)-serial. Let A be a finite-dimensional associative algebra with identity over a field k. In this paper we introduce the concept of (*)-serial algebras which is a generalization of serial algebras. We investigate the properties of (*)-serial algebras, and we obtain suficient and necessary conditions for an associative algebra to be (*)-serial.
出处 《Science China Mathematics》 SCIE 2010年第12期3049-3056,共8页 中国科学:数学(英文版)
基金 Supported by National Natural Science Foundation of China (Grant No. 10971172) Natural Science Foundation of Beijing (Grant No. 1092002) Natural Science Foundation of Beijing University of Technology
关键词 (*)-serial ALGEBRAS biserial MODULES uniserial MODULES (*)-serial algebras biserial modules uniserial modules
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参考文献8

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同被引文献2

  • 1CHEN Xiaowu, HUANG Hualin & ZHANG Pu Department of Mathematics, University of Science and Technology of China, Hefei 230026, China,USTC Shanghai Institute for Advanced Studies, Shanghai 201315, China,Mathematical Section, the Abdus Salam ICTP, Strada Costiera 11, Trieste 34014, Italy,Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China.Dual Gabriel theorem with applications[J].Science China Mathematics,2006,49(1):9-26. 被引量:6
  • 2Hailou YAO,Weili FAN,Yanru PING.(*)-Serial coalgebras[J].Frontiers of Mathematics in China,2012,7(5):955-970. 被引量:1

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