In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skelet...In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skeleton. After introducing a special kind of principal congruence, we consider the relationship between an MS-algebra and its quotient algebra.展开更多
文摘In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skeleton. After introducing a special kind of principal congruence, we consider the relationship between an MS-algebra and its quotient algebra.
