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In this paper, after the introduction of the basic concepts and the main results on K〓 theory, relative K〓 theory and the theory of classical groups of degree 2 which is related to K〓 theory, we study the problems of the computation of K〓 for the ring of integers of quadratic imaginary fields, examples of subrings of quadratic fields which are not universal for GE〓 and generating set of the Cokernel of the canonical homomorphism from K〓 to K〓.

本文在介绍了K〓理论和相对K〓理论以及与K〓理论有关的2阶典型群的基本概念及主要成果之后,对于虚二次域代数整环的K〓群的计算,非GE〓泛的虚二次域的子环以及K〓到K〓的自然同态的余核的生成元集等问题进行了研究。

Rough ideals been first introduced by Kuroki N. Under the condition of the congruence relation, a rough set of a subsemigroup was proved to be its subsemigroup, while that of a leftideal was also proved to be its leftideal.

Kuroki N研究了半群中的粗理想,首次提出了粗子半群和粗理想的概念,证明了在同余关系下,半群的粗糙集是半群,左理想的粗糙集是左理想。

Kuroki N firstly put forward the notion of rough subsets and rough ideals in semigroups, testifying that Under the condition of the congruence relation, a rough set of a subsemigroup was proved to be its subsemigroup, while that of a leftideal was also proved to be its leftideal.

Kuroki N首先研究了半群中的粗理想,首次提出了粗子半群和粗理想的概念,证明了在同余关系下,半群的粗糙集是半群,左理想的粗糙集是左理想。

When form ring satisfies certain Λ-stable range condition, we use the results in [2]to prove the normality of a unitary congruence subgroup EU andan important commutator equation of unitary congruence subgroups.

在型环满足适当的Λ-稳定秩条件时,利用[2]中的结果证明了酉群的同余子群EU的正规性,建立了酉群的同余子群之间的一个换位子公式。

In the sense of cutset, the relation between the rough set of a cutset and the cutset of a rough set, a fuzzy rough set of a fuzzy primary ideal in a semigroup is proved to be its fuzzy primary ideal. The sixed chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in rings, the corresponding results of a semigroup are generalized in a ring. The last chapter is Rough-fuzzy Subsemirings in Semirings, First, the lower and upper rough-fuzzy semirings together with the left and the right ideal are defined.

利用截集意义下,截集的粗糙集与粗糙集截集的关系,证明了在完备同余关系下半群中的模糊准素理想的粗糙集是模糊准素理想;第六章是环中粗准素理想和粗模糊准素理想,将半群中的相(来源:A70BC论文网www.abclunwen.com)应结果推广到环中;第七章是半环中的粗模糊子半环,首先,给出上粗模糊子半环及上粗模糊理想等概念,并研究了它们的性质。

We also prove that the lattice of group congruences on a regular semigroup is isomorphic to the lattice of its full admissible subsemigroups.

另外,还证明了正则半群的群同余格同构于它的完全容许子半群的格。

Since there is a close connection between principal filters and the smallest complete semi-lattice congruences on a po-semigroups, the study of the structure of filters has attracted a number of authors. For example, Kehayopulu, Xie X.Y, Cao Y.

在偏序半群中,由于主滤子同最小完全半格同余乃至完全半格同余有着密切的联系,又主滤子在偏序半群结构的研究中起到至关重要的作用,因而对滤子结构的研究吸引了众多学者的关注。

We discuss some U-classes and V-classes which consist of special congruences respectively,and describe the corresponding special E-solid semigroups.

含有某些特殊同余的U—类和V—类被分别清晰地描述;进而E—硬正则半群类及其一些特殊的子类被分层次地刻划。

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