3 papers
math.DG2026
On the bisections of a local Lie grpoupod
Navya K Nair, P G Romeo
In this paper, we study the local Lie group structure associated with the space of admissible bisections of a local Lie groupoid over a compact manifold. We further investigate the…
math.FA2026
Cross-connections of the normed algebra of finite rank bounded operators on a Hilbert space
A. Anju, P. G. Romeo
In this article we examine the cross-connections of the normal category of finite dimensional subspaces of a Hilbert space and it's dual space. Further, we describe the cross-conne…
math.RA2026
Ordered semigroups and ideal categories of principal ideal rings
P. K. Minnumol, P. G. Romeo
In this paper, we view the collection of ideals of a commutative principal ideal ring from two perspectives: one as an ordered semigroup I(R) and the other as a category I_R . It i…