Realization of graded monomial ideal rings modulo torsion

Abstract

Let $A$ be the quotient of a graded polynomial ring $\mathbb{Z}[x_1,\cdots ,x_m]\otimes \Lambda [y_1,\cdots ,y_n]$ by an ideal generated by monomials with leading coefficients 1. Then we constructed a space~$X_A$ such that $A$ is isomorphic to $H^{\ast }(X_A)$ modulo torsion elements.

23 pages

References in corpus (1)

• The Steenrod problem of realizing polynomial cohomology rings

Cited by in corpus (1)

• Steenrod problem and some graded Stanley-Reisner rings