A cancellation law for partially ordered sets and $T_0$ spaces

B. Banaschewski, R. Lowen
2004 Proceedings of the American Mathematical Society  
In this paper we prove a cancellation law in the category (1) of partially ordered sets and (2) of T 0 spaces, the respective conditions on the common factor being that it have (1) an irreducible bottom element and (2) an irreducible bottom element in its specialization order.
doi:10.1090/s0002-9939-04-07339-3 fatcat:yka4d7ykk5dqtpmy63rby4qlbm