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

Karimova, N.

O‘zbekiston matematika jurnali · 2026-yil

Annotatsiya

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.

DOI: 10.29229/uzmj.2026-2-14 · Maqolaning asl sahifasi

Kalit so‘zlar

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

Ilmiy soha

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