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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| _version_ | 1849685566202839040 |
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| author | T. K. Mukherjee M. K. Sen Shamik Ghosh |
| author_facet | T. K. Mukherjee M. K. Sen Shamik Ghosh |
| author_sort | T. K. Mukherjee |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-c51c4a2f525040e0a7dd7aba0dca54c7 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c51c4a2f525040e0a7dd7aba0dca54c72025-08-20T03:23:06ZengWileyInternational 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 |
| spellingShingle | T. K. Mukherjee M. K. Sen Shamik Ghosh Chain Conditions on Semirings International Journal of Mathematics and Mathematical Sciences |
| title | Chain Conditions on Semirings |
| title_full | Chain Conditions on Semirings |
| title_fullStr | Chain Conditions on Semirings |
| title_full_unstemmed | Chain Conditions on Semirings |
| title_short | Chain Conditions on Semirings |
| title_sort | chain conditions on semirings |
| url | http://dx.doi.org/10.1155/S0161171296000452 |
| work_keys_str_mv | AT tkmukherjee chainconditionsonsemirings AT mksen chainconditionsonsemirings AT shamikghosh chainconditionsonsemirings |