Том 71
№ 4

All Issues

Zarovny V. P.

Articles: 2
Brief Communications (Russian)

Semi-groups with condensers

Zarovny V. P.

Full text (.pdf)

Ukr. Mat. Zh. - 1962. - 14, № 3. - pp. 325-327

Article (Russian)

Interpretation of the Plane Axioms of Euclidian Geometry in an Abstract Group. I

Zarovny V. P.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1960. - 12, № 1. - pp. 3-12

A special lexicon is given for the interpretation in the group (I, II, IV, D)* of the linear axioms of congruence of Euclidian geometry, and a solution is presented of the problem: under which conditions do these axioms hold true in the group under discussion. The concept of «elliptical systems of crts* is introduced.