摘要
In this paper, we discuss the necessary and sufficient conditions in which there exist exceptional isomorphisms between E3（A） and E3（R） and between GL3（A） and GL3（R） for commutative rings A and R. A counterexample shows that two rings that are not isomorphic may have isomorphic tinear groups. This partly solves an open problem posed at the conference on abstract homomorphisms of algebraic groupsrs.
In this paper, we discuss the necessary and sufficient conditions in which there exist exceptional isomorphisms between E_3(A) and E_3(R) and between GL_3(A) and GL_3(R) for commutative rings A and R. A counterexample shows that two rings that are not isomorphic may have isomorphic tinear groups. This partly solves an open problem posed at the conference on abstract homomorphisms of algebraic groupsrs.
基金
Project supported by the National Natural Science Foundation of China.
