ABSTRACT

This work covers the maximal and prime ideals of the incidence algebra, derivations and isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions include a study of the Mobius function, reduced incidence subalgebras, and the coalgebra approach to incidence algebras.

chapter Chapter 1|32 pages

Incidence Algebras

chapter Chapter 2|73 pages

The Möbius Function

chapter Chapter 3|55 pages

Reduced Incidence Algebras

chapter Chapter 4|25 pages

Radicals

chapter Chapter 5|27 pages

Maximal Ideals

chapter Chapter 6|34 pages

Minimal Prime Ideals

chapter Chapter 7|31 pages

Derivations and Isomorphisms

chapter Chapter 8|24 pages

Ring Theoretic Properties