JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (8): 49-52.doi: 10.6040/j.issn.1671-9352.0.2015.248

Previous Articles     Next Articles

Unipotent congruences on a proper weakly left type B semigroup

LI Chun-hua1, XU Bao-gen1, HUANG Hua-wei2   

  1. 1. School of Science, East China Jiaotong University, Nanchang 330013, Jiangxi, China;
    2. Shcool of Mathematics Science, Guizhou Normal University, Guiyang 550001, Guizhou, China
  • Received:2015-05-25 Online:2016-08-20 Published:2016-08-08

PDF (PC)

814

Abstract: The notion of a weakly left type B semigroup is introduced. A characterization of a unipotent congruence on a proper weakly left type B semigroup is given, and some results are obtained. Finally, a sufficient and necessary condition for a weakly left type B semigroup to be proper is given by using the notion of a structure mapping.

Key words: weakly left type B semigroups, unipotent congruences, structure mappings, proper

CLC Number: 

  • O152.7
[1] EL-QALLIALI A, FOUNTAIN J B. Idempotent-connected abundant semigroups[J]. Proc Roy Soc Edinburgh, 1981, 91:79-90.
[2] FOUNTAIN J B. Abundant semigroups[J]. Proc London Math Soc,1982, 44:103-129.
[3] LAWSON M V. Semigroups and ordered categories I: The reduced case[J]. J Algebra, 1991, 141:422-462.
[4] GUO Xiaojiang. Abundant semigroups with Q-ideal adequate transversals and some of their special cases[J]. Algebra Colloquium, 2007, 14(4):687-704.
[5] GUO Xiaojiang, SHUM K P. Proper left GC-lpp semigroups and a generalized version of McAlisters P-theorem[J]. Algebra Colloquium, 2011, 18(3):475-486.
[6] GUO Xiaojiang, PENG Tingting. Split quasi-adequate semigroups[J]. Acta Mathematica Sinica(English Series), 2012, 28(2):425-438.
[7] GUO Xiaojiang, CHEN Lin. Semigroup algebras of finite ample semigroups[J]. Proceedings of the Royal Society of Edinburgh, 2012, 142:371-389.
[8] LI Chunhua, GUO Xiaojiang, LIU Ergen. Good congruences on perfect rectangular bands of adequate semigroups[J]. Advances in Mathematics, 2009, 38(4):465-476.
[9] LI Chunhua, LIU Ergen, GUO Xiaojiang. Fuzzy good congruences on left semiperfect abundant semigroups[J]. Communications in Algebra, 2011, 39:3090-3103.
[10] LI Chunhua, WANG Limin. On the translational hull of a type B semigroup[J]. Semigroup Forum, 2011, 82:516-529.
[11] LI Chunhua. On fuzzy congruences of a type-B semigroup I[J]. International Mathematical Forum, 2014, 9(8):367-375.
[12] 李春华. 型A半群上的fuzzy好同余[J]. 山东大学学报(理学版), 2008,43(2):40-43. LI Chunhua. Fuzzy congruences on type A semigroups [J]. Journal of Shandong University(Natural Science), 2008, 43(2):40-43.
[13] 李春华, 徐保根, 黄华伟. 富足半群上的fuzzy-t同余[J]. 模糊系统与数学, 2014, 28(3):32-36. LI Chunhua, XU Baogen, HUANG Huawei. Fuzzy-t congruences on abundant semigroups[J]. Fuzzy Systems and Mathematics, 2014, 28(3):32-36.
[14] 李春华, 汪立民, 范自柱. 具有乘法型B断面富足半群的结构[J]. 数学进展, 2014, 43(2):232-242. LI Chunhua, WANG Limin, FAN Zizhu. The structure of abundant semigroups with a multiplicative type B transversal[J]. Advances in Mathematics, 2014, 43(2):232-242.
[1] LUAN Yi-chao, YANG Xiu-ping, ZHANG Jing-jing, LIU Qing, ZHANG Chun-qiu. Finite element simulation of relaxation properties on lumbarintervertebal disc under compression [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(3): 77-81.
[2] ZHANG Ying, CAO Xiao-hong, DAI Lei. Judgement of Weyls theorem for bounded linear operators [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(10): 82-87.
[3] WANG Xia, ZHANG Qian, LI Jun-yu, LIU Qing-feng. Triadic concept analysis based on rough set theory [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(7): 37-43.
[4] SONG Jia-jia, CAO Xiao-hong, DAI Lei. The judgement for the small compact perturbation of SVEP for upper triangular operator matrices [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(4): 61-67.
[5] DAI Lei, CAO Xiao-hong. Property(z)and Weyl type theorem [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 60-65.
[6] HE Yu-ping, WANG Zhi-wen, CHEN Xiang-en. Vertex-distinguishing total coloring of mC8 [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 24-30.
[7] SUN Yan-zhong, YANG Xiao-yan. Gorenstein AC-projective modules with respect to a semidualizing module [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 31-35.
[8] XU Hai-li, LONG Pan-feng. Interaction between alkyl polyglycosides and other different surfactants [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(1): 9-14.
[9] ZHENG Xiu-yun, SHI Jia-rong. A globally convergent conjugate gradient method with Armijo line search [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(1): 98-101.
[10] LI Xiao-ce, PAN Xiao-zhong, MAI Tao-tao. Multi-component property based remote attestation [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(9): 53-58.
[11] WANG Kai-rong, GAO Pei-ting. Two mixed conjugate gradient methods based on DY [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(6): 16-23.
[12] WU Cui-ling, LIU Dan, YANG Xing-hao, WU Ri-bang, HUANG Jia-feng, ZHANG Jiang, LUN Zi-feng, HE Hai-lun. Purification, characterization and gene cloning of the extracellular protease EYHⅠ from Salinivibrio sp.YH4 [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(5): 36-42.
[13] CHEN Bin, Abuelgasimalshaby Elzebir. Existence and multiplicity results for a second-order multi-point boundary value problem at resonance [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(4): 49-52.
[14] QIN Xiao-yi, GAO Li-lan, ZHANG Hui, ZHANG Chun-qiu, GE Hong-yu, LIU Zhi-dong. Finite element modeling on mechanical property of articular cartilage with different compressive rates [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(3): 34-39.
[15] LIU Lian-xin, HE Wei-ping, LIU Yu, JIN Yong. QSPR study on thermodynamic properties of resveratrol analogues [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(11): 79-87.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd