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Nearly extremal Cohen–Macaulay and Gorenstein algebras

Published online by Cambridge University Press:  17 April 2009

Chanchal Kumar ,
Pavinder Singh  and
Ashok Kumar
Chanchal Kumar
Affiliation:
Department of Mathematics, University of Jammu, Jammu 180 006, India, e-mail: chanchal_jammu@yahoo.com, pavinder_ju@yahoo.co.in, ashokk_ju2002@yahoo.co.in
Pavinder Singh
Affiliation:
Department of Mathematics, University of Jammu, Jammu 180 006, India, e-mail: chanchal_jammu@yahoo.com, pavinder_ju@yahoo.co.in, ashokk_ju2002@yahoo.co.in
Ashok Kumar
Affiliation:
Department of Mathematics, University of Jammu, Jammu 180 006, India, e-mail: chanchal_jammu@yahoo.com, pavinder_ju@yahoo.co.in, ashokk_ju2002@yahoo.co.in
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This paper study nearly extremal Cohen–Macaulay and Gorenstein algebras and characterise them in terms of their minimal free resolutions. Explicit bounds on their graded Betti numbers and their multiplicities are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 2 , April 2007 , pp. 211 - 220
Copyright
Copyright © Australian Mathematical Society 2007

References

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