What does "pseudofinite" mean?

Of a field: both quasi-finite (perfect with a unique extension of every positive degree) and pseudo algebraically closed (every absolutely irreducible variety over the field has a point defined over the field).

Pseudofinite

adj

adj ·Rare ·Advanced level

Definitions

Adjective

1
Of a field: both quasi-finite (perfect with a unique extension of every positive degree) and pseudo algebraically closed (every absolutely irreducible variety over the field has a point defined over the field). not-comparable

Etymology

From pseudo- + finite.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.