Computing Gröbner Bases in Monoid and Group Rings. - Klaus Madlener; Birgit Reinert (ISSAC, 1993)

On Gröbner bases in monoid and group rings. - Birgit Reinert (1995)

A Generalization of Gröbner Basis Algorithms to Nilpotent Group Rings. - Klaus Madlener; Birgit Reinert (Appl. Algebra Eng. Commun. Comput., 1997)

A Note on Nielsen Reduction and Coset Enumeration. - Birgit Reinert; Klaus Madlener; Teo Mora (ISSAC, 1998)

A Generalization of Gröbner Basis Algorithms to Polycyclic Group Rings. - Klaus Madlener; Birgit Reinert (J. Symb. Comput., 1998)

Relating Rewriting Techniques on Monoids and Rings: Congruences on Monoids and Ideals in Monoid Rings. - Klaus Madlener; Birgit Reinert (Theor. Comput. Sci., 1998)

MRC - Data Structures and Procedures for Computing in Monoid and Group Rings. - Birgit Reinert; Dirk Zeckzer (Appl. Algebra Eng. Commun. Comput., 1999)

Solving systems of linear one-sided equations in integer monoid and group rings. - Birgit Reinert (ISSAC, 2000)

Coset Enumeration Using Prefix Gröbner Bases: An Experimental Approach. - Birgit Reinert; Dirk Zeckzer (LMS J. Comput. Math., 2001)

A systematic study of Gröbner basis methods. - Birgit Reinert (TU Kaiserslautern, 2005)

Gröbner bases in function rings - A guide for introducing reduction relations to algebraic structures. - Birgit Reinert (J. Symb. Comput., 2006)