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Original Articles

Cellularity of a New Class of Diagram Algebras

Pages 4172-4181 | Received 15 Jan 2012, Published online: 14 May 2014
 

Abstract

A diagram algebra in which the diagrams include n rows of n points is constructed. Moreover, we prove that the algebra is cellular and quasi-hereditary.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The author would like to thank the reviewer for the valuable suggestions which helped to clarify the whole paper. He also acknowledges Mrs. Guiping Mu of Tangshan Library for some help.

Notes

Communicated by Q. Wu.

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