6 papers
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…
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…
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…
Cross-connection semigroups amalgam of a vector bundle
P. G. Romeo
Cross-connections of normal categories was introduced by K.S.S.Nambooripad while discussing the structure of regular semigroups and via this cross-connections he obtained a beautif…
On bi-ideals of ordered full transformation semigroups
Minnumol P K, P G Romeo
In this paper we describe the Greens relations on the semigroup of bi-ideals of ordered full transformation semigroup in terms of Greens relations of ordered full transformation se…
Normal categories of normed algebra of finite rank bounded operators
P G Romeo, A Anju
In this article, we introduce the normal category L(S) [R(S)] of principal left [right] ideals of the normed algebra S of all finite rank bounded operators on a Hilbert space H and…