9 citations · 11 across the 5 of their papers we have counts for
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On primary decomposition of modules
Nazeran Idrees, Afshan Sadiq, Asifa Tassaddiq
Primary decomposition is a very important tool of commutative algebra and geometry. In this paper we generalized some of the existing algorithms of primary decomposition developed…
An Algorithm to Compute a Primary Decomposition of Modules in Polynomial Rings over the Integers
Nazeran Idrees, Gerhard Pfister, Afshan Sadiq
We present an algorithm to compute the primary decomposition of a submodule of the free module . For this purpose we use algorithms for primar…
An algorithm for primary decomposition in polynomial rings over the integers
Gerhard Pfister, Afshan Sadiq, Stefan Steidel
We present an algorithm to compute a primary decomposition of an ideal in a polynomial ring over the integers. For this purpose we use algorithms for primary decomposition in polyn…
F4 Algorithm For Euclidean Rings
Afshan Sadiq
This short note is the generalization of Faugere F4-algorithm for polynomial rings with coefficients in Euclidean rings. This algorithm computes successively a Groebner basis repla…
Standard Bases over Rings
Afshan Sadiq
The theory of standard bases in polynomial rings with coefficients in a ring R with respect to local orderings is developed. R is a commutative Noetherian ring with 1 and we assume…