O‘zbekiston matematika jurnali Volume 70 Issue 2 (2026) · pp. 115-120

On the negativity of separable algorithmic representations of fields with additive inversions

Karimova, N.

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Abstract

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.

field with additive inversionalgorithmic representationeffectively generated topologynegativity and positivitycontinuity

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Cite

APA 7 
Karimova, N. (2026). On the negativity of separable algorithmic representations of fields with additive inversions. O‘zbekiston matematika jurnali, 70(2), 115-120.
GOST R 7.0.5 
Karimova, N. On the negativity of separable algorithmic representations of fields with additive inversions // O‘zbekiston matematika jurnali. 2026. Т. 70. № 2. С. 115-120.
BibTeX 
@article{n.2026,
  author  = {Karimova, N.},
  title   = {On the negativity of separable algorithmic representations of fields with additive inversions},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {2},
  pages   = {115-120}
}
RIS 
TY  - JOUR
AU  - Karimova, N.
TI  - On the negativity of separable algorithmic representations of fields with additive inversions
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 2
SP  - 115
EP  - 120
ER  -