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1)  New Families of Semicommutative Rings
一族新的半交换环
2)  A Generalization of Semicommutative Rings
半交换环的推广
3)  semicommutative ring
半交换环
1.
Some relations among weak α-skew Armendariz rings,α-rigid rings,α-SC rings and semicommutative rings are studied by some examples.
研究了弱-αskew Armendariz环、-αrigid环、α-SC环以及半交换环的关系。
2.
Then U_n(R) is not a semicommutative ring.
则Un(R)不是半交换环。
4)  commutative semiring
交换半环
1.
In this paper,it is proved that if R is a commutative semiring with identidy,then every automorphism of the algebra of upper triangular n×n matrices over R is inner.
证明了如果R是含有恒等元的交换半环,那么R上的n阶上三角矩阵代数的自同构都是内自同构。
2.
The derivations in the matrix semiring Mn(R)over a commutative semiring R is studied and it is proved that every derivation of the semiring Mn(R) is the sum of an inner derivation of Mn(R) and another derivation which is induced from a derivation of R.
探讨交换半环上矩阵半环的导子,证明了交换半环R上矩阵半环的导子均可表为一个内导子和R的一个诱导导子之和。
5)  additively inverse semirings in which addition is commutative
交换逆半环
1.
Based on above, firstly, this thesis studys the property of full h -ideals of additively inverse semirings in which addition is commutative, presents the characterization of additively inverse semirings in which addition is commutative assis.
本文首先研究了交换逆半环的h-理想的性质,并用其刻画了交换逆半环,对于交换逆半环给定的h-理想,得到了对应的环同余;其次研究了序半群的理想元素、左理想的特性,刻画一个理想元素、左理想为素、半素、弱素、左弱素等的特征,以及由左理想得到的Green s-关系、同余对诣零序半群的刻画。
6)  general commutative ring
一般交换环
补充资料:一族
1.一个宗族﹑家族。亦指同一宗族﹑家族。 2.同一族类。 3.谓同一源流。
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