• 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.

• Journal of applied mathematics & informatics
• /
• 제6권1호
• /
• pp.217-226
• /
• 1999

In this paper we define automata-linearly independence. An automaton M has a basis B iff M is free provided that we assume that the action of S on X $\times$ S is (x,sa) for all a, s $\in$ S and x $\in$ X. if a semigroup S is PRID every subautomaton of a free S-automaton is free.

• Journal of applied mathematics & informatics
• /
• 제1권1호
• /
• pp.75-78
• /
• 1994

In this paper we define free torsion-free and torsion-free completely on an automaton. We prove some properties of them which are important

• Journal of applied mathematics & informatics
• /
• 제9권2호
• /
• pp.705-716
• /
• 2002

In this paper we shall introduce the algebraic structure of a tensor product for arbitrarily given automata, giving a defintion of the tensor product for automata. We introduce and study that for any set X there always exists a free automaton on X. The existence of a tensor product for automata will be investigated in the same way like modules do.