• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제9권2호
• /
• pp.119-128
• /
• 2002

We here characterize semigroups (which are called completely right projective semigroups) for which every S-automaton is projective, and then examine some of the relationships with the semigroups (which are called completely right injective semigroups) in which every S-automaton is injective.

• 대한수학회논문집
• /
• 제19권1호
• /
• pp.1-10
• /
• 2004

We here consider necessary and sufficient conditions for a completely right injective semigroup S whose lattice Ｌ(S) of right congruences on S is semiatomic. These are preceded by a number of results on the characterization of a semigroup S in which every automaton over S is injective(called a completely right injective semigroup).