Basic sequences of homogeneous ideals in polynomial rings (Q1355603)

The author extends some of his results from his earlier paper [\textit{M. Amasaki}, J. Pure Appl. Algebra 114, No. 1, 1-23 (1996; Zbl 0876.13013)] to the case of more general rings than Buchsbaum rings. The author had developed a theory of ``Weierstrass basis'' for finitely generated modules over polynomial rings. This enables the author to give certain lower bounds for the degree of a \((p-1)\)-codimensional Cohen Macaulay graded quotient ring of the polynomial ring whose defining ideal is contained in a given ideal \(I\) of height at least two.