用V1,V2,V3和V4表示正规带的4个给定的拟簇.利用幂等元半环上的同余关系分别给出了.V1,.V2,.V3和.V4中成员的次直积分解和这些拟簇的M al'cev积分解,并借助Zhao X Z的"(2,2)型代数的坚固构架"理论揭示了.V1∩N.B,.V3∩中...用V1,V2,V3和V4表示正规带的4个给定的拟簇.利用幂等元半环上的同余关系分别给出了.V1,.V2,.V3和.V4中成员的次直积分解和这些拟簇的M al'cev积分解,并借助Zhao X Z的"(2,2)型代数的坚固构架"理论揭示了.V1∩N.B,.V3∩中.NB成员的次直积分解与坚固构架之间的密切联系。展开更多
Let τ be a torsion theory on R-rood and M be a left R-mod. In this paper the τ-cotorsionfree radical Cτ（M） of M is studied. When τ is stable, the construction and the supplementing radical of Cτ （M） are obtai...Let τ be a torsion theory on R-rood and M be a left R-mod. In this paper the τ-cotorsionfree radical Cτ（M） of M is studied. When τ is stable, the construction and the supplementing radical of Cτ （M） are obtained.展开更多
In this paper we study a matrix equation AX+BX=C(I)over an arbitrary skew field,and give a consistency criterion of(I)and an explicit expression of general solutions of(I).A convenient,simple and practical method of s...In this paper we study a matrix equation AX+BX=C(I)over an arbitrary skew field,and give a consistency criterion of(I)and an explicit expression of general solutions of(I).A convenient,simple and practical method of solving(I)is also given.As a particular case,we also give a simple method of finding a system of fundamental solutions of a homogeneous system of right linear equations over a skew field.展开更多
文摘用V1,V2,V3和V4表示正规带的4个给定的拟簇.利用幂等元半环上的同余关系分别给出了.V1,.V2,.V3和.V4中成员的次直积分解和这些拟簇的M al'cev积分解,并借助Zhao X Z的"(2,2)型代数的坚固构架"理论揭示了.V1∩N.B,.V3∩中.NB成员的次直积分解与坚固构架之间的密切联系。
文摘Let τ be a torsion theory on R-rood and M be a left R-mod. In this paper the τ-cotorsionfree radical Cτ（M） of M is studied. When τ is stable, the construction and the supplementing radical of Cτ （M） are obtained.
文摘In this paper we study a matrix equation AX+BX=C(I)over an arbitrary skew field,and give a consistency criterion of(I)and an explicit expression of general solutions of(I).A convenient,simple and practical method of solving(I)is also given.As a particular case,we also give a simple method of finding a system of fundamental solutions of a homogeneous system of right linear equations over a skew field.
基金国家自然科学基金(the National Natural Science Foundation of China under Grant No.10471112)陕西省自然科学基金(the Natural Science Foundation of Shaanxi Province of China under Grant No.2005A15)
