arXiv subjects

S. K. Jain

Publications and source records attributed to S. K. Jain.

22 records · Page 2Linked to original sources

arXiv2013

Strain energy calculations of hexagonal boron nanotubes: An ab-initio approach

An ab initio calculations have been carried out for examining the curvature effect of small diameter hexagonal boron nanotubes. The considered conformations of boron nanotubes are namely armchair (3,3), zigzag (5,0) and chiral (4,2), and consist of 12, 20, and 56 atoms, respectively. The strain energy is evaluated in order to examine the curvature effect. It is found that the strain energy of hexagonal BNT strongly depends upon the radius, whereas the strain energy of triangular BNTs depends on both radius and chirality.

cond-mat.mes-hall↗

arXiv2012

ADS modules

We study the class of ADS rings and modules introduced by Fuchs. We give some connections between this notion and classical notions such as injectivity and quasi-continuity. A simple ring R such that R is ADS as a right R-module must be either right self-injective or indecomposable as a right R-module. Under certain conditions we can construct a unique ADS hull up to isomorphism. We introduce the concept of completely ADS modules and characterize completely ADS semiperfect right modules as direct sum of semisimple and local modules.

math.RA↗

arXiv2012

Leavitt Path Algebras of Finite Gelfand-Kirillov Dimension

Groebner-Shirshov basis and Gelfand-Kirillov dimension of the Leavitt path algebra are derived.

math.RA↗

arXiv2010

Shorted Operators Relative to a Partial Order in a Regular Ring

In this paper, the explicit form of maximal elements, known as shorted operators, in a subring of a von Neumann regular ring has been obtained. As an application of the main theorem, the unique shorted operator (of electrical circuits) which was introduced by Anderson-Trapp has been derived.

math.RA↗