论文信息 - Chain Conditions on Semirings

Chain Conditions on Semirings

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.

Shamik Ghosh | M. Sen | T. K. Mukherjee

[1] Kenzo Iizuka,et al. On the Jacobson radical of a semiring , 1959 .

[2] H. J. Weinert. Über Halbringe und Halbkörper. III , 1962 .

[3] H. E. Stone. Ideals in halfrings , 1972 .

[4] H. E. Stone. Matrix representation of simple halfrings , 1977 .