Problems in interaction with the computer algebra system BERGMAN. The aim of the article is to describe a new feature in the computer algebra package BERGMAN -- an interface shell that simplifies the usage of the system. We start from a brief description of BERGMAN and problems arising in its interface. Then we show how the shell solves those problems. At last we describe in more details how to use the shell and comment its additional possibilities and future development.

References in zbMATH (referenced in 35 articles , 2 standard articles )

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  1. Barkee, Boo; Ceria, Michela; Moriarty, Theo; Visconti, Andrea: Why you cannot even hope to use Gröbner bases in cryptography: an eternal golden braid of failures (2020)
  2. La Scala, Roberto; Piontkovski, Dmitri; Tiwari, Sharwan K.: Noncommutative algebras, context-free grammars and algebraic Hilbert series (2020)
  3. Levandovskyy, Viktor; Schönemann, Hans; Zeid, Karim Abou: \textscLetterplace-- a subsystem of \textscSingularfor computations with free algebras via letterplace embedding (2020)
  4. Guiraud, Yves; Hoffbeck, Eric; Malbos, Philippe: Convergent presentations and polygraphic resolutions of associative algebras (2019)
  5. Chenavier, Cyrille: Reduction operators and completion of rewriting systems (2018)
  6. Blasiak, Jonah; Liu, Ricky Ini; Mészáros, Karola: Subalgebras of the Fomin-Kirillov algebra (2016)
  7. Cassidy, Thomas; Conner, Andrew; Kirkman, Ellen; Moore, W. Frank: Periodic free resolutions from twisted matrix factorizations (2016)
  8. Roos, Jan-Erik: Homological properties of the homology algebra of the Koszul complex of a local ring: examples and questions (2016)
  9. Conner, A.; Goetz, P.: Some non-Koszul algebras from rational homotopy theory (2015)
  10. Iyudu, Natalia; Shkarin, Stanislav: Optimal 5-step nilpotent quadratic algebras (2014)
  11. Levandovskyy, Viktor; Shepler, Anne V.: Quantum Drinfeld Hecke algebras. (2014)
  12. Studzinski, Grischa: Implementation and applications of fundamental algorithms relying on Gröbner bases in free associative algebras. (2013)
  13. Bubenik, Peter; Gold, Leah H.: Graph products of spheres, associative graded algebras and Hilbert series. (2011)
  14. Roos, Jan-Erik: Three-dimensional manifolds, skew-Gorenstein rings and their cohomology. (2010)
  15. Bourgeois, Gerald: Algebraic systems of matrices and Gröbner basis theory (2009)
  16. La Scala, Roberto; Levandovskyy, Viktor: Letterplace ideals and non-commutative Gröbner bases. (2009)
  17. Green, Edward L.; Solberg, Øyvind: An algorithmic approach to resolutions (2007)
  18. Cojocaru, Svetlana; Malahova, Ludmila; Colesnicov, Alexander: Providing modern software environments to computer algebra systems (2006)
  19. Levandovskyy, Viktor: \textscPlural, a non-commutative extension of \textscSingular: past, present and future. (2006)
  20. Sköldberg, Emil: Morse theory from an algebraic viewpoint. (2006)

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