CAJ | 학술논문

　　引入拟–McCoy环和拟–弱McCoy环并研究其性质。讨论拟–McCoy环和拟–弱McCoy环之间的关系。证明了任意环R上的上三角矩阵环Tn(R)(n≥2)及交换的拟–弱McCoy环R上的n阶全矩阵环Mn(R)是拟–弱 McCoy环。对于环R的理想I,当I?nil(R)时,若R/I 是拟–弱McCoy环,则R是拟–弱McCoy环。同时也证明了R是拟–弱McCoy环当且仅当??1R是拟–弱McCoy环。
　　인입의–McCoy배화의–약McCoy배병연구기성질。토론의–McCoy배화의–약McCoy배지간적관계。증명료임의배R상적상삼각구진배Tn(R)(n≥2)급교환적의–약McCoy배R상적n계전구진배Mn(R)시의–약 McCoy배。대우배R적이상I,당I?nil(R)시,약R/I 시의–약McCoy배,칙R시의–약McCoy배。동시야증명료R시의–약McCoy배당차부당??1R시의–약McCoy배。
Quasi-McCoy rings and quasi-weak McCoy rings were introduced and their properties investigated. The relation between quasi-McCoy rings and quasi-weak McCoy rings was also discussed and it is shown that the upper triangular matrix rings Tn(R)(n≥2) over any ring R and n-by-n full matrix rings Mn(R) over commutative quasi-weak McCoy rings R are quasi-weak McCoy. For an ideal I of a ring R satisfying I?nil(R), if R/I is quasi-weak McCoy, then R is quasi-weak McCoy. It is also shown that R is quasi-weak McCoy if and only if??1R is quasi-weak McCoy.