Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: , ,
Keywords: rings of continuous functions; topological spaces; functional representations of rings; ideals, congruencies and subalgebras in semirings of continuous functions; theory of semirings.
Subject:
Elementary properties of divisibility in rings of continuous functions with values in disconnected normed field were studied. The general theory of rings of continuous functions, connected with their maximal spectrum, was developed. It was applied for research of properties of ideals in rings and semirings of continuous functions. The problem of structural isomorphism of rings of continuous functions was solved. The theory of Abelian-regular positive semirings was constructed.
Main publications:
Vechtomov E. M. Rings of continuous functions with values in a topological field // J. Math. Sciences. 1996, 78(6), 702–753.
