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» On Coalgebras over Algebras
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ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
14 years 2 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
JSC
2007
79views more  JSC 2007»
13 years 7 months ago
Computation of bases of free modules over the Weyl algebras
A well-known result due to J. T. Stafford asserts that a stably free left module M over the Weyl algebras D = An(k) or Bn(k) − where k is a field of characteristic 0 − with ...
Alban Quadrat, Daniel Robertz
VLDB
2007
ACM
113views Database» more  VLDB 2007»
14 years 7 months ago
Fast nGram-Based String Search Over Data Encoded Using Algebraic Signatures
We propose a novel string search algorithm for data stored once and read many times. Our search method combines the sublinear traversal of the record (as in Boyer Moore or Knuth-M...
Witold Litwin, Riad Mokadem, Philippe Rigaux, Thom...
VLDB
1993
ACM
116views Database» more  VLDB 1993»
13 years 11 months ago
Algebraic Optimization of Computations over Scientific Databases
Although scientific data analysis increasingly requires accessandmanipulation of large quantitiesof data,current databasetechnology fails to meet the needsof scientific processing...
Richard H. Wolniewicz, Goetz Graefe
IMCSIT
2010
13 years 5 months ago
On the implementation of public keys algorithms based on algebraic graphs over finite commutative rings
We will consider balanced directed graphs, i.e., graphs of binary relations, for which the number of inputs and number of outputs are the same for each vertex. The commutative diag...
Michal Klisowski, Vasyl Ustimenko