It is established that any algorithmic representation of any field in a signature with an additive inverse operation that has a nontrivial enumerable subset is negative. In this case, computably and enumerably generated topologies coincide, and the operations are continuous with respect to the enumerably generated topology.
| Mualliflar | Karimova, N. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 115-120 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-14 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-14 · Maqolaning asl sahifasi
field with additive inversion, algorithmic representation, effectively generated topology, negativity and positivity, continuity
| APA | Karimova, N. (2026). On the negativity of separable algorithmic representations of fields with additive inversions. O‘zbekiston matematika jurnali, 70(2), 115-120. https://doi.org/10.29229/uzmj.2026-2-14 |
|---|---|
| GOST (OAK) | Karimova, N. On the negativity of separable algorithmic representations of fields with additive inversions // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 115-120. – DOI: 10.29229/uzmj.2026-2-14. |
| MLA | Karimova, N. “On the negativity of separable algorithmic representations of fields with additive inversions.” O‘zbekiston matematika jurnali, 70(2), 115-120, 2026. https://doi.org/10.29229/uzmj.2026-2-14 |
| Chicago | Karimova, N. “On the negativity of separable algorithmic representations of fields with additive inversions.” O‘zbekiston matematika jurnali, 70(2), 115-120 (2026). https://doi.org/10.29229/uzmj.2026-2-14 |
| Harvard | Karimova, N (2026) ‘On the negativity of separable algorithmic representations of fields with additive inversions’, O‘zbekiston matematika jurnali, 70(2), 115-120. https://doi.org/10.29229/uzmj.2026-2-14 |
| BibTeX | @article{karimovan2026,
title = {On the negativity of separable algorithmic representations of fields with additive inversions},
author = {Karimova, N.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {115-120},
doi = {10.29229/uzmj.2026-2-14},
url = {https://doi.org/10.29229/uzmj.2026-2-14}
} |
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