As a generalization of the theory of normal bands of groups,some characteristics and the twisted spined product structure of normal bands of unipotent monoids are given by use of SRMSun semigroups and Green relations,regular elements and restrictions in the general construction fuctions on them.
作为群的正规带理论的拓展 ,本文利用SRMSum—半群和其上的Green关系、正则无集合及一般结构的限制给出了单幂幺半群的正规带的若干特征和扭织积结
This paper proves that the maximal right quasinormal band homomorphic image of free product of right quasinormal bands in semigroup category is isomorphic to their free product in right quasinormal band category.
证明了右拟正规带在半群范畴中的自由积的极大右拟正规带同态象同构于它们在右拟正规带范畴中的自由积。
This paper proves that maxima1 normal band homomorphism image of tensor products oftwo semigroups exactly is the tensor product of maximal normal band homomorphism image of the twosemigroups in normal band category.
证明在半群范畴中,两个半群的张量积的极大正规带同态象恰好是这两个半群极大正规带同态象在正规带范畴中的张量积。
A finite semigroup is an IC abundant semigroup satisfying the left rgularity condition if and only if it is an orthodox superabundant semigroup whose idempotents form a left regular band.
一个有限半群是满足左正则性条件的IC富足半群当且仅当它是一个幂等元形成左正则带的纯整超富足半群,但满足左正则性条件的无限IC富足半群不都是幂等元形成左正则带的纯整超富足半群。
In the paper, a structural theorem of left inverse semigroups is given, which generalizes the standard representations of left regular bands.
作为左正则带的标准表示的推广 ,给出了左逆半群的一个结构定理。
The quasi spined product of an adequate semigroups and a left regular band is introduced here, the quasi spined product structure of type σ semigroups is established.
引进了适当半群和左正则带的拟织积，建立σ型半群的拟织积结构。