Fiber cones of 0-dimensional ideals with almost minimal multiplicity in Cohen-Macaulay local rings are studied. Ratliff-Rush closure of filtration of ideals with respect to another ideal isâ€¦ (More)

Criteria are given in terms of certain Hilbert coefficients for the fiber cone F (I) of an m-primary ideal I in a Cohen-Macaulay local ring (R, m) so that it is Cohen-Macaulay or has depth at leastâ€¦ (More)

Let (R,m) be a Cohen-Macaulay local ring and I be an m-primary ideal. We introduce ideals of almost minimal mixed multiplicty which are analogues of ideals studied by J. Sally in [13]. The mainâ€¦ (More)

We shall prove the fundamental results of Hilbert and Noether for invariant subrings of finite subgroups of the general linear groups in the non-modular case, i.e. when the field has characteristicâ€¦ (More)

Two formulas for the multiplicity of the fiber cone F (I) = âŠ•n=0I/mI of an m-primary ideal of a d-dimensional Cohen-Macaulay local ring (R, m) are derived in terms of the mixed multiplicityâ€¦ (More)

The objective of these notes is to present a few important results about complete ideals in 2â€“dimensional regular local rings. The fundamental theorems about such ideals are due to Zariski found inâ€¦ (More)

Peristaltic pumping of a particle-fluid suspension in a catheterized circular tube has been investigated. The coupled differential equations for both the fluid and the particle phases have beenâ€¦ (More)

A refrigerant is a substance used in a heat cycle usually for enhancing efficiency, by a reversible phase transition from a liquid to a gas. Traditionally, fluorocarbons, especiallyâ€¦ (More)

Let R be a polynomial ring over a field of dimension n. Let m be the maximal homogeneous ideal of R. Let I be a complete intersection homogeneous ideal of R minimally generated by polynomials ofâ€¦ (More)