«Modern algebra» adoption timeline
The modern conceptual approach to algebra starts with the description of algebraic structures by means of axioms chosen to suit the examples at hand; as for instance with the axioms of groups, rings, fields, lattices, and vector spaces. This axiomatic approach, emphasized by David Hilbert and developed in Germany in the 1920's by Emmy Noether, Emil Artin, B. L. Van der Waerden, and others became available on the graduate level in the 1930's, and was then popularized on the undergraduate level in the 1940's and 1950's...
Birkhoff G., MacLane S., Algebra, 3ed., AMS-Chelsea ed., 1999 — Preface.
В этом смысле мы всё ещё в 30-х... в лучшем случае.
