AbstractThe roots and pseudo-roots of a noncommutative polynomial satisfy relations given by the noncommutative Vieta Theorem of Gelfand and Retakh. The quadratic algebras Qn are defined by relations modeled on these relations for roots and pseudo-roots. We show that the algebras Qn are Koszul algebras
A new connection between combinatorics and noncommutative algebra is established by relating a certa...
In order to enlarge the class of equations provided by traditional polynomials over a binary algebra...
In order to enlarge the class of equations provided by traditional polynomials over a binary algebra...
AbstractThe roots and pseudo-roots of a noncommutative polynomial satisfy relations given by the non...
AbstractThe quadratic algebras Qn are associated with pseudo-roots of noncommutative polynomials. We...
AbstractThe quadratic algebras Qn are associated with pseudo-roots of noncommutative polynomials. We...
AbstractGreen and Marcos (2005) [2] call a graded k-algebra δ-Koszul if the corresponding Yoneda alg...
Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of m...
Associated to any uniform finite layered graph Γ there is a noncommutative graded quadratic algebra ...
This work was started as an attempt to apply theory from noncommutative graded algebra to questions ...
Abstract. We prove the simple fact that the factor ring of a Koszul algebra by a regular, normal, qu...
AbstractThe algebras Qn describe the relationship between the roots and coefficients of a non-commut...
In this thesis, we present a detailed exposition of Koszul algebras and Koszul duality. We begin wit...
noncommutative algebra; noncommutative algebraic geometry; Koszul algebras and theirResearch Interes...
Abstract. This is a joint work with Victor Ginzburg [4] in which we study a class of associative alg...
A new connection between combinatorics and noncommutative algebra is established by relating a certa...
In order to enlarge the class of equations provided by traditional polynomials over a binary algebra...
In order to enlarge the class of equations provided by traditional polynomials over a binary algebra...
AbstractThe roots and pseudo-roots of a noncommutative polynomial satisfy relations given by the non...
AbstractThe quadratic algebras Qn are associated with pseudo-roots of noncommutative polynomials. We...
AbstractThe quadratic algebras Qn are associated with pseudo-roots of noncommutative polynomials. We...
AbstractGreen and Marcos (2005) [2] call a graded k-algebra δ-Koszul if the corresponding Yoneda alg...
Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of m...
Associated to any uniform finite layered graph Γ there is a noncommutative graded quadratic algebra ...
This work was started as an attempt to apply theory from noncommutative graded algebra to questions ...
Abstract. We prove the simple fact that the factor ring of a Koszul algebra by a regular, normal, qu...
AbstractThe algebras Qn describe the relationship between the roots and coefficients of a non-commut...
In this thesis, we present a detailed exposition of Koszul algebras and Koszul duality. We begin wit...
noncommutative algebra; noncommutative algebraic geometry; Koszul algebras and theirResearch Interes...
Abstract. This is a joint work with Victor Ginzburg [4] in which we study a class of associative alg...
A new connection between combinatorics and noncommutative algebra is established by relating a certa...
In order to enlarge the class of equations provided by traditional polynomials over a binary algebra...
In order to enlarge the class of equations provided by traditional polynomials over a binary algebra...
DOI
Add to ORKG