2024/09/08 by P. G. Romeo, Romeo, P. G.
Decision Sciences · Mathematics · #18 #Advanced Topics in Algebra #Category Theory (math.CT) #F.2.2 #FOS: Mathematics #Fuzzy and Soft Set Theory #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2409.05062
openalex publication_date 2024/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 beautiful representetion of regualr semigroup called the cross-connection semigroup (see cf.[4]). Subsequently cross-connection representation of various other semigroups such as concordant semigroups, semigroup of endomorphisms of a vector space are also described (cf.[6][5]). In this paper we describe the semigroup amalgam of cross-connection semigroups of the fibers of a vector bundle.