The Marriages of Intellectual Property & Insurance

The marriages of Intellectual Property and Insurance may sound a magical word for all those companies which are playing the game of intellectual property in their business. These companies manage their intellectual property under the guidance of IP management and an IP policy in the company. These companies earn a huge amount of money in this game; but there are also chances for the companies to face the risks ahead. These expected risks can be minimized to some extent, if the companies understand the meaning and the importance of this new term “Intellectual Property Insurance”. In order to make the companies appreciate the depth significance of the term, the paper is written and the paper emphasizes the need of IP insurance in the business, the role of IP insurance in mitigating the risks involved in the business and the framework of IP insurance policy etc.Intellectual Property, Insurance, Intellectual Property Insurance

Quillen-Suslin theory for a structure theorem for the Elementary Symplectic Group

A new set of elementary symplectic elements is described, It is shown that these also generate the elementary symplectic group {\rm ESp}$_{2n}(R)$. These generators are more symmetrical than the usual ones, and are useful to study the action of the elementary symplectic group on unimodular rows. Also, an alternate proof of, {\rm ESp}$_{2n}(R)$ is a normal subgroup of {\rm Sp}$_{2n}(R)$, is shown using the Local Global Principle of D. Quillen for the new set of generators.Comment: 14 pages, few typos corrected. To appear in Ramanujan Math. Soc. Lect. Notes Se

Syzygies, Betti numbers and regularity of cover ideals of certain multipartite graphs

Let $G$ be a finite simple graph on $n$ vertices. Let $J_G \subset K[x_1, \ldots, x_n]$ be the cover ideal of $G$. In this article, we obtain syzygies, Betti numbers and Castelnuovo-Mumford regularity of $J_G^s$ for all $s \geq 1$ for certain classes of graphs $G$.Comment: Title and other minor change