International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 2, Pages 321-326
doi:10.1155/S0161171296000452
Chain conditions on semirings
T.K. Mukherjee
, M.K. Sen
and Shamik Ghosh
Abstract
In this paper we characterize the class of semirings S for which the semirings of square matrices Mn(S) over S are (left) k-artinian. Also an analogue of the Hilbert basis theorem for semirings is obtained.