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http://hdl.handle.net/123456789/47| Title: | A note on maximal ideals in ordered semigroups |
| Authors: | Kehayopulu, N. Ponizovskii, J. Tsingelis, M. |
| Issue Date: | 6-Dec-2002 |
| Publisher: | Луганский национальный университет им. Т. Шевченко |
| Description: | In commutative rings having an identity element, every maximal ideal is a prime ideal, but the converse statement does not hold, in general. According to the present note, similar results for ordered semigroups and semigroups -without order- also hold. In fact, we prove that in commutative ordered semigroups with identity each maximal ideal is a prime ideal, the converse statement does not hold, in general. |
| URI: | http://hdl.handle.net/123456789/47 |
| Appears in Collections: | Статті |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| adm-n1-2003-4.pdf | 83.01 kB | Adobe PDF | View/Open |
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