Boolean ring has much distinctive difference from domain in that boolean ring has zero divisors . the difference gives rise to great difficult in researching linear characteristic 布尔环是有零因子环，此与一般整环有重要差别，这给线性特征的研究带来了较大困难。
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We explore the graph structure of the autonomous automata over boolean ring and derive the following new results : 1 . we determine the graph structure of a kind of exact - equibranch down - oriented - tree autonomous automata and of a kind of invertible autonomous automata [ theorem 4 . 1 - 4 . 4 ] 本文研究了有限布尔环上的内动机图型结构，取得了下列成果: ( 1 )定出了布尔环上的一类具有等叉下向树形的线性内动机和一类可逆线性内动机的图型定理4 . 1 ~ 4 . 4 ] 。
