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Vietnam
Journal of Mathematics 37:1 (2009) 23-33
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Piecewise-Koszul Complexes
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Jia-Feng Lü and
Jun-Ru Si
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Abstract. In this paper, the so called
piecewise-Koszul complex is defined, which is a natural generalization of
Koszul and higher Koszul complexes. We give a necessary and sufficient
condition for a special class of graded algebras to be piecewise-Koszul in
terms of piecewise-Koszul complex. Moreover, for a special piecewise-Koszul
algebra, we give a description of the Yoneda-Ext algebra by using its dual
algebra.
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2000 Mathematics Subject Classification: 16E05, 16E40,
16S37, 16W50.
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Keywords: Piecewise-Koszul algebras, Yoneda-Ext
algebras, piecewise-Koszul complexes.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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