in the paper we definded the ring of left strongly non-singular. The following results are abtained。 Theorem 1. Let R be the ring of left strongly non-singular,then R satisfies the Kothe conjecture. Theorem 2. Let R ...in the paper we definded the ring of left strongly non-singular. The following results are abtained。 Theorem 1. Let R be the ring of left strongly non-singular,then R satisfies the Kothe conjecture. Theorem 2. Let R be ang ring,then R satisfies the Kothe conjecture if and only if R is a left strongly non-singular on every K-subset.展开更多
文摘in the paper we definded the ring of left strongly non-singular. The following results are abtained。 Theorem 1. Let R be the ring of left strongly non-singular,then R satisfies the Kothe conjecture. Theorem 2. Let R be ang ring,then R satisfies the Kothe conjecture if and only if R is a left strongly non-singular on every K-subset.