Cross-connections

K.S.S. Nambooripad

Sayahna Foundation, Trivandrum 695014

2000 Mathematics Subject Classification. Primary 20 M 10; Secondary 18

Key words and phrases. cross-connections,categories with factorization, normal categories, direct image, inverse image

1Introduction33
2Categories with subobjects36
3Set based categories45
4The categories of left and right modules of a semigroup64
5The semigroup of cones86
6Regular categories108
7Von-Neumann alghebra123
8Biordered sets of von Neumann algebras124
Bibliography135