Add to ORKGThis thesis comprises an investigation of (co)homological invariants of monomial rings, by which is meant commutative algebras over a field whose minimal relations are monomials in a set of generators for the algebra, and of combinatorial aspects of these invariants. Examples of monomial rings include the `Stanley-Reisner rings' of simplicial complexes. Specifically, we study the homotopy Lie algebra (R), whose universal enveloping algebra is the Yoneda algebra ExtR(k; k), and the multigraded Poincare series of R, PR(x; z) = i0;2
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We prove a theorem, which provides a formula for the computation of the Poincaré series of a monomia...
To every homogeneous ideal of a polynomial ring S over a field K, Macaulay assigned an ideal generat...
To every homogeneous ideal of a polynomial ring S over a field K, Macaulay assigned an ideal generat...
AbstractLet k be a field, let I be an ideal generated by monomials in the polynomial ring k[x1,…,xt]...
AbstractBackelin proved that the multigraded Poincaré series for resolving a residue field over a po...
AbstractRecently in [M. Jöllenbeck, On the multigraded Hilbert and Poincaré series of monomial rings...
AbstractIn this paper we study the multigraded Hilbert and Poincaré–Betti series of A=S/a, where S i...
AbstractBackelin proved that the multigraded Poincaré series for resolving a residue field over a po...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
AbstractLet k be a field, let I be an ideal generated by monomials in the polynomial ring k[x1,…,xt]...
Abstract. This article studies algebras R over a simple artinian ring A, presented by a quiver and r...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We prove a theorem, which provides a formula for the computation of the Poincaré series of a monomia...
To every homogeneous ideal of a polynomial ring S over a field K, Macaulay assigned an ideal generat...
To every homogeneous ideal of a polynomial ring S over a field K, Macaulay assigned an ideal generat...
AbstractLet k be a field, let I be an ideal generated by monomials in the polynomial ring k[x1,…,xt]...
AbstractBackelin proved that the multigraded Poincaré series for resolving a residue field over a po...
AbstractRecently in [M. Jöllenbeck, On the multigraded Hilbert and Poincaré series of monomial rings...
AbstractIn this paper we study the multigraded Hilbert and Poincaré–Betti series of A=S/a, where S i...
AbstractBackelin proved that the multigraded Poincaré series for resolving a residue field over a po...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
AbstractLet k be a field, let I be an ideal generated by monomials in the polynomial ring k[x1,…,xt]...
Abstract. This article studies algebras R over a simple artinian ring A, presented by a quiver and r...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q wher...
We prove a theorem, which provides a formula for the computation of the Poincaré series of a monomia...