IJPAM: Volume 65, No. 1 (2010)
Karaisali Vocational School
Adana, 01770, TURKEY
Abstract.Let be a semigroup and let be a congruence on . We consider as a subsemigroup of the direct product . Then we prove that is periodic, locally finite and residually finite if and only if is periodic, locally finite and residually finite, respectively. Moreover, has a solvable word problem if and only if has a solvable word problem.
Received: July 11, 2009
AMS Subject Classification: 20M05
Key Words and Phrases: congruence, periodicity, local finiteness, residual finiteness, word problem
Source: International Journal of Pure and Applied Mathematics