Dereje K Boku

Dereje K Boku

Assistant Professor of Mathematics at Dilla University, Ethiopia.

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Gröbner Bases over Algebraic Number Fields

Published in Poceedings of PASCO, 2015

This paper presents an efficient method for computing the above mentioned bases using modular algorithms over algebraic number fields.

Recommended citation: D. K. Boku, W. Decker, C. Fieker, and A. Steenpass (2015)" Groebner bases over algebraic number fields."New York, NY, USA. ACM.

Singular Library nfmodstd

Published in Singular version 4-0-2, 2015

This library includes the implementation of the nfmodstd algorithm given in the Boku et. al. paper nfmodstd.pdf

Recommended citation: D. K. Boku, W. Decker, and C. Fieker. (2015). nfmodstd.lib A Singular version 4-0-2 library for computing Groebner bases of ideals in polynomial rings over algebraic number fields.

Singular Library ffmodstd

Published in Singular version 4-0-3 , 2016

This library includes the implementation of modular computation of Groebner bases over function fields

Recommended citation: D. K. Boku, W. Decker, and C. Fieker. (2016). ffmodstd.lib A Singular version 4-0-3 library for computing Groebner bases of ideals in polynomial rings over algebraic function fields.

Singular Library nfmodsyz

Published in Singular version 4-0-3, 2016

This library includes the implementation of modular computation of syzygy modules over algebraic number fields

Recommended citation: D. K. Boku, W. Decker, and C. Fieker. (2016). nfmodsyz.lib: A Singular version 4-0-3 library for computing syzygy modules over algebraic number fields.

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