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

Authors

  • N. Karimova Author

DOI:

https://doi.org/10.29229/uzmj.2026-2-14

Keywords:

field with additive inversion, algorithmic representation, effectively generated topology, negativity and positivity, continuity

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.

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Published

2026-06-12

Issue

Vol. 70 No. 2 (2026): Uzbek Mathematical Journal

Section

Published

How to Cite

On the negativity of separable algorithmic representations of fields with additive inversions. (2026). Uzbek Mathematical Journal, 70(2), 115-120. https://doi.org/10.29229/uzmj.2026-2-14