Chain Conditions on Semirings
Received04 May 1994
Revised07 Jan 1995
In this paper we characterize the class of semirings for which the semirings of square matrices over are (left) -artinian. Also an analogue of the Hilbert basis theorem for semirings is obtained.
Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.