S. I. Adian, G. U. Oganesyan, “On the word and divisibility problems in semigroups with a single defining relation”, Izv. Akad. Nauk SSSR Ser. Mat., 1978, Volume 42, Issue 2,Pages <nobr>219

This article is cited in 13 papers

On the word and divisibility problems in semigroups with a single defining relation

S. I. Adian, G. U. Oganesyan

Abstract: It is proved that the word problem and left (right) divisibility problem in an arbitrary semigroup with a single defining relation can be reduced to the respective problems for a single relation which is left (or right) noncancellative.
Bibliography: 2 titles.

UDC: 519.444

MSC: Primary 20M05; Secondary 20F47

Received: 14.02.1977