Matrix representation of rectangular bands of semigroups

Guo X.; Shum K.P.; Bokut L.A.

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Matrix representation of rectangular bands of semigroups

机译：半群矩形带的矩阵表示

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摘要

Abundant semigroups expressed as a perfect rectangular band of adequate semigroups will be investigated. A known theorem of PastijnPetrich in 1984 on perfect rectangular bands of inverse semigroups will be generalized from the class of regular semigroups to the class of abundant semigroups. A Rees matrix representation of such abundant semigroups will be established and some characterization theorems will be consequently given.

机译：将研究表示为适当半群的完美矩形带的大量半群。 1984年PastijnPetrich已知的关于逆半群的完美矩形带的定理将从广义半群的类扩展为丰富半群的类。将建立此类丰富半群的Rees矩阵表示，并因此给出一些定理定理。

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《Journal of algebra and its applications》 |2010年第3期|共13页
作者
Guo X.; Shum K.P.; Bokut L.A.;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
adequate semigroup; adequate transversals; completely simple semigroups; Perfect rectangular band of inverse semigroups; quasi-ideals; Rees matrix theorem;

机译：适当的半群;充分的横截面;完全简单的半群;逆半群的完美矩形带;拟理想;Rees矩阵定理;

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1. Matrix representation of rectangular bands of semigroups [J] . Guo X., Shum K.P., Bokut L.A. Journal of algebra and its applications . 2010,第3期

机译：半群矩形带的矩阵表示
2. Coextensions of pseudo-Inverse semigroups by rectangular bands [J] . John Meakin Journal of the Australian Mathematical Society . 2009,第1期

机译：伪逆半群与矩形带的共扩展
3. Coextensions of pseudo-Inverse semigroups by rectangular bands [J] . John Meakin Journal of the Australian Mathematical Society . 2009,第1期

机译：伪逆半群与矩形带的共扩展
4. Efficient admittance matrix representation of a cubic junction of rectangular waveguides [C] . Boria, V.E., Guglielmi, . 1998

机译：矩形波导立方结的有效导纳矩阵表示
5. On Upper Triangular Tropical Matrix Semigroups, Tropical Matrix Identities and T-Modules [D] . Taylor, Matthew. 2017

机译：上三角热带矩阵半群，热带矩阵标识和T模块
6. SPECTRAL REPRESENTATION OF SEMIGROUPS OF NORMAL OPERATORS [O] . Cassius Ionescu Tulcea 1958

机译：正常算子半群的谱表示
7. Supermatrix Representations of Semigroup Bands [O] . Duplij, Steven 1996

机译：半群带的超矩阵表示
8. Rectangular and Polar Representations of a Complex Matrix [R] . Shieh, L. S., Tasi, J. S., Coleman, N. P. 1987

机译：复矩阵的矩形和极坐标

Matrix representation of rectangular bands of semigroups

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