An hypervaluation of a ring onto a totally ordered non-cancellative semigroup without zero divisors
In this paper we answer to a question posed by Marc KRANSER: It is possible to have a totally ordered noncancellative semigroup without zero divisors, and a ring hypervaluated by this semigroup? We were able to give a positive answer and provide an example.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171286001023 |
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| _version_ | 1832564513344323584 |
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| author | John Papadopoulos |
| author_facet | John Papadopoulos |
| author_sort | John Papadopoulos |
| collection | DOAJ |
| description | In this paper we answer to a question posed by Marc KRANSER: It is possible to have a totally ordered noncancellative semigroup without zero divisors, and a ring hypervaluated by this semigroup? We were able to give a positive answer and provide an example. |
| format | Article |
| id | doaj-art-f837e3df235148d696a3f91a8f5c55a8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f837e3df235148d696a3f91a8f5c55a82025-02-03T01:10:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019482182310.1155/S0161171286001023An hypervaluation of a ring onto a totally ordered non-cancellative semigroup without zero divisorsJohn Papadopoulos041–43 Ioulianou str., Athens 104 34, GreeceIn this paper we answer to a question posed by Marc KRANSER: It is possible to have a totally ordered noncancellative semigroup without zero divisors, and a ring hypervaluated by this semigroup? We were able to give a positive answer and provide an example.http://dx.doi.org/10.1155/S0161171286001023 |
| spellingShingle | John Papadopoulos An hypervaluation of a ring onto a totally ordered non-cancellative semigroup without zero divisors International Journal of Mathematics and Mathematical Sciences |
| title | An hypervaluation of a ring onto a totally ordered
non-cancellative semigroup without zero divisors |
| title_full | An hypervaluation of a ring onto a totally ordered
non-cancellative semigroup without zero divisors |
| title_fullStr | An hypervaluation of a ring onto a totally ordered
non-cancellative semigroup without zero divisors |
| title_full_unstemmed | An hypervaluation of a ring onto a totally ordered
non-cancellative semigroup without zero divisors |
| title_short | An hypervaluation of a ring onto a totally ordered
non-cancellative semigroup without zero divisors |
| title_sort | hypervaluation of a ring onto a totally ordered non cancellative semigroup without zero divisors |
| url | http://dx.doi.org/10.1155/S0161171286001023 |
| work_keys_str_mv | AT johnpapadopoulos anhypervaluationofaringontoatotallyorderednoncancellativesemigroupwithoutzerodivisors AT johnpapadopoulos hypervaluationofaringontoatotallyorderednoncancellativesemigroupwithoutzerodivisors |