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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000452 |
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Article |
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doaj-c51c4a2f525040e0a7dd7aba0dca54c72020-11-24T23:25:21ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119232132610.1155/S0161171296000452Chain Conditions on SemiringsT. K. MukherjeeM. K. SenShamik GhoshIn 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.http://dx.doi.org/10.1155/S0161171296000452 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
T. K. Mukherjee M. K. Sen Shamik Ghosh |
| spellingShingle |
T. K. Mukherjee M. K. Sen Shamik Ghosh Chain Conditions on Semirings International Journal of Mathematics and Mathematical Sciences |
| author_facet |
T. K. Mukherjee M. K. Sen Shamik Ghosh |
| author_sort |
T. K. Mukherjee |
| title |
Chain Conditions on Semirings |
| title_short |
Chain Conditions on Semirings |
| title_full |
Chain Conditions on Semirings |
| title_fullStr |
Chain Conditions on Semirings |
| title_full_unstemmed |
Chain Conditions on Semirings |
| title_sort |
chain conditions on semirings |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1996-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S0161171296000452 |
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AT tkmukherjee chainconditionsonsemirings AT mksen chainconditionsonsemirings AT shamikghosh chainconditionsonsemirings |
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1725558020325244928 |