O‘zbekiston matematika jurnali 70-jild 2-son (2026) · 115-120-betlar
On the negativity of separable algorithmic representations of fields with additive inversions
Karimova, N.
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.
field with additive inversionalgorithmic representationeffectively generated topologynegativity and positivitycontinuity
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