In these notes on" Projective Modules and Complete Intersections" an account on the recent
developments in research on this subject is presented. The author's preference for the …

Let G be a reductive group over a commutative ring R. We say that G has isotropic rank ≥
n≥ n, if every normal semisimple reductive R-subgroup of G contains (G _m _, R)^ n (G m …

Let k be a field and D be a discrete Hodge algebra of dimension d≥ 2 over k. Let I⊂ D be
an ideal such that ht (I)= n= μ (I/I 2) and 2 n≥ d+ 3, where μ (−) stands for the minimal …

Let B be a discrete Hodge algebra over a. ring A. By definition this means that B= R/I where
R= A [XI..... X,,] and I is an ideal in R generated by monomials. T. Vorst showed in 1-12] that …

Efficient generation of ideals in a discrete Hodge algebra - ScienceDirect Skip to main
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In the case where R is a Prufer domain or an arithmetical ring, it is it nor st^ that finitely
generated projective modules over R [Xl are extended ([91). By using this fact, one can …

All rings in this paper will be commutative and noetherian. Let GLr (A) be the group of
invertible rxr-matrices over A. We can imbed GLr (A) into GLr+ 1 (A) by the following map: o …

Ton Vorst [9] proved the analogue of Serre's conjecture for discrete Hodge algebras over
fields (R is called a discrete Hodge algebra over A if R= A [X0,..., Xn]/I where/is an ideal …

PROJECTIVE MODULES AND ORBIT SPACE OF UNIMODULAR ROWS OVER DISCRETE
HODGE ALGEBRAS OVER A NON-NOETHERIAN RING 1. Introduction. L Page 1 JOURNAL …

61. Bhatwadekar, SM; Roy, A.(1983): Inversion of monic polynomials and existence of
unimodular elements. Math. Zeit. 183, 87–94. MR 0701360 62. Bhatwadekar, SM; Roy …