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Abstract
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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.