arXiv subjects

Riya Jose

Publications and source records attributed to Riya Jose.

4 recordsLinked to original sources

arXiv2026

Categories of bundles and categories of chains

K. S. S. Nambooripad introduced an interesting class of categories known as normal categories, which are categories with subobjects, morphisms admitting factorization and having sufficiently many cones. These normal categories plays fundamental role in the study of structure of regular semigroups. In [6] we discussed the category of chain bundles and category of chains. In the present paper revisits classical notions of bundles, including fibre bundles, vector bundles, and principal G-bundles, and discuss the chain categories arising from the category of bundles. Moreover, its is verified that these categories are categories with subobjects.

math.CT↗

arXiv2023

Ideal lattices of semigroup of doubly stochastic matrices

In this paper we illustrate the rule for finding number of idempotents in the doubly stochastic matrix $D_n$ and also locate the idempotents for the semigroups $D_3$ and $D_4$. Further describe idempotent generated ideals of these semigroups and it is shown that these idempotent generated ideals form lattices.

math.GR↗

arXiv2021

Chain Bundles and Category of Chains

In [7], we introduced the category of chain bundles with examples and established its significance. Here we shall describe certain categories which we call the category of chains in the chain bundle category and discuss some interesting categorical properties of this chain categories

math.CT↗

arXiv2020

Category of chain bundles

For a category with subobjects and factorization, here we describe a new category which we call category of chain bundles and it is shown that this new category is also a category with subobjects and admits factorization under certain restriction. Further we provide several examples of bundle categories and discuss some interesting properties of these categories.

math.CT↗