Fereshteh Forouzesh - Faculty of Mathematics and Computing, Higher Education Complex of Bam, Kerman, Iran.

In this paper, we introduce obstinate state ideals in state algebras. We present some characterizations of them. We give extension theorem for obstinate state ideals in state algebras. By introducing the concept state locally finite algebra, we consider the quotient algebras induced by this state ideal and prove some related theorems.

obstinate state ideal, state locally finite, state ideal