IJPAM: Volume 58, No. 1 (2010)
GROEBNER BASES FOR A CLASS OF IDEALS IN
COMMUTATIVE POLYNOMIAL RINGS
COMMUTATIVE POLYNOMIAL RINGS
Mehwish Saleemi
, Karl-Heinz Zimmermann
Institute of Computer Technology (E-13)
Hamburg University of Technology
Schwarzenbergstr. 95 E, Hamburg, 21071, GERMANY
e-mail: chughtai@tuhh.de
e-mail: k.zimmermann@tuhh.de



Hamburg University of Technology
Schwarzenbergstr. 95 E, Hamburg, 21071, GERMANY


Abstract.We construct reduced Groebner bases for a certain class of ideals in commutative polynomial rings. A subclass of these ideals corresponds to the generalized Reed-Muller codes when considered in the quotient ring of the polynomial ring.
Received: October 25, 2009
AMS Subject Classification: 13P10, 94B30
Key Words and Phrases: commutative polynomial rings, ideals, Groebner bases, reduced Groebner bases, generalized Reed-Muller codes
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 58
Issue: 1