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Semirings of Formal Power Series

Authors :
M. K. Sen
Mahima Ranjan Adhikari
Source :
Southeast Asian Bulletin of Mathematics. 24:173-181
Publication Year :
2000
Publisher :
Springer Science and Business Media LLC, 2000.

Abstract

Semirings of formal power series over semirings, in particular, over k-semifields, are studied. It is also shown that the semiring of formal power series S[[x]] over a k-semifield S becomes a local semiring. Moreover, the Jacobson radical of S[x]] over a k-semifield S is described.

Details

ISSN :
0219175X and 01292021
Volume :
24
Database :
OpenAIRE
Journal :
Southeast Asian Bulletin of Mathematics
Accession number :
edsair.doi...........2106538548846729a9d0436460c3d1d3
Full Text :
https://doi.org/10.1007/s10012-000-0173-8