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 …

Gilmer and Heinzer proved that given a reduced ring R, a polynomial f divides a monic
polynomial in R [X] if and only if there exists a direct sum decomposition of R= R0⊕…⊕ Rm …

(1) Let 𝑅 be a commutative Noetherian ring of dimension 𝑛 and 𝑃 a projective 𝑅 [𝑋₁,..., 𝑋𝑚]-
module of rank 𝑛. In this paper, we associate an obstruction for 𝑃 to split off a free summand …

The algebraic cohomotopy group and its properties | Indian Journal of Pure and Applied
Mathematics Skip to main content SpringerLink Account Menu Find a journal Publish with us …

Let R be a Noetherian commutative ring of dimension n> 2 and let A= R [T, T− 1]. Assume
that the height of the Jacobson radical of R is at least 2. Let P be a projective A-module of …

On Projective Modules and Computation of Dimension of a Module over Laurent
Polynomial Ring - Mishra - 2011 - International Scholarly Research Notices - Wiley Online …

Let R be a commutative Noetherian ring of dimension n and P a projective RX_1,...,X_m-
module of rank n. In this paper, we associate an obstruction for P to split off a free summand …

Hilbert 1 introduced free resolution on iterated syzygies of a finitely generated graded
module M over polynomial ring RK x1,..., xn. A choice of a0 dim M⊗ RK homogeneous …

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 …