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.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1986-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171286001023 |
| id |
doaj-f837e3df235148d696a3f91a8f5c55a8 |
|---|---|
| record_format |
Article |
| spelling |
doaj-f837e3df235148d696a3f91a8f5c55a82020-11-25T00:17:59ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
John Papadopoulos |
| 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 |
| author_facet |
John Papadopoulos |
| author_sort |
John Papadopoulos |
| title |
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_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_sort |
hypervaluation of a ring onto a totally ordered
non-cancellative semigroup without zero divisors |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1986-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/S0161171286001023 |
| work_keys_str_mv |
AT johnpapadopoulos anhypervaluationofaringontoatotallyorderednoncancellativesemigroupwithoutzerodivisors AT johnpapadopoulos hypervaluationofaringontoatotallyorderednoncancellativesemigroupwithoutzerodivisors |
| _version_ |
1725377458347180032 |