Enhanced computations of gröbner bases in free algebras as a new application of the letterplace paradigm (original) (raw)
Related papers
Letterplace ideals and non-commutative Gröbner bases
Victor Levandowskii, Roberto La Scala, Viktor Levandovskyy
Journal of Symbolic Computation, 2009
Skew polynomial rings, Groebner bases and the letterplace embedding of the free associative algebra
Victor Levandowskii, Roberto La Scala, Viktor Levandovskyy
2010
Extended letterplace correspondence for nongraded noncommutative ideals and related algorithms
International Journal of Algebra and Computation, 2014
Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra
Victor Levandowskii, Roberto La Scala, Viktor Levandovskyy
Journal of Symbolic Computation, 2013
Combinatorial-Algebraic Techniques in GR Obner Bases Theory
2000
On a certain transitivity of the graded ring associated with an ideal
Proceedings of the American Mathematical Society, 1982
A note on the structure of graded modules over a polynomial ring
Journal of Pure and Applied Algebra, 1983
2010
Standard monomial bases and geometric consequences for certain rings of invariants
Proceedings of The Indian Academy of Sciences-mathematical Sciences, 2006
A Survey on Combinatorial Duality Approach to Zero-dimensional Ideals
2008
Bulletin of the Australian Mathematical Society, 2013
Gröbner Bases for the Polynomial Ring with Infinite Variables and Their Applications
Communications in Algebra, 2009
Polynomial Graded Subalgebras of Polynomial Algebras
Communications in Algebra, 2012
Associated graded rings of one-dimensional
2010
Trees, Parking Functions, and Deformations of Monomial Ideals
2018
Some constructions in rings of differential polynomials
Lecture Notes in Computer Science, 1991
Optimization of basic algorithms in Commutative Algebra
Bases of subalgebras of K〚x〛 and K[x]
Journal of Symbolic Computation
Groebner bases and gradings for partial difference ideals
2013
Groebner bases for the polynomial ring with infinite variables and their applications
2008
A Singular Introduction to Commutative Algebra
The American Mathematical Monthly, 2004
Trees, parking functions, syzygies, and deformations of monomial ideals
Transactions of the American Mathematical …, 2004
Gröbner bases of ideals invariant under endomorphisms
Roberto La Scala, Vesselin Drensky
Journal of Symbolic Computation, 2006
Left monomial rings---a generalization of monomial algebras
Osaka Journal of Mathematics, 1993
A new notion of reduction: Generating universal Gröbner bases of ideals in K[x, y]
Journal of Symbolic Computation, 1991
Finite generation of symmetric ideals
Transactions of the American Mathematical Society, 2007
On the lifting problem for homogeneous ideals in polynomial rings
Journal of Pure and Applied Algebra, 1988
A note on partial coordinate system in a polynomial ring
Communications in Algebra, 2018
Journal of Algebra, 2015
Associated graded rings of one-dimensional analytically irreducible rings II
Journal of Algebra, 2011
Analogs of Gröbner Bases in Polynomial Rings over a Ring
Journal of Symbolic Computation, 1996
Term-ordering free involutive bases
Journal of Symbolic Computation, 2015
2005
On the arithmetic and homology of algebras of linear type
Transactions of the American Mathematical Society, 1984