JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (12): 1-3.doi: 10.6040/j.issn.1671-9352.0.2018.305

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Good congruences associated with multiplicative quasi-adequate transversals

KONG Xiang-jun1, WANG Pei2   

  1. 1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China;
    2. School of Software Engineering, Qufu Normal University, Qufu 273165, Shandong, China
  • Online:2018-12-20 Published:2018-12-18

Abstract: The good congruences on abundant semigroups with multiplicative quasi-adequate transversals are characterized.

Key words: abundant semigroup, quasi-adequate transversal, good congruence

CLC Number: 

  • O152.7
[1] BLYTH T S, MCFADDEN R B. Regular semigroups with a multiplicative inverse transversal[J]. Proc Roy Soc Edinburgh, 1982, 92A:253-270.
[2] 王守峰.具有可乘逆断面的正则半群的λ-半直积[J].山东大学学报(理学版),2018, 53(4):20-23. WANG Shoufeng. λ-Semidirect products of regular semigroups with a multiplicative inverse transversal[J]. Journal of Shandong University(Natural Science), 2018, 53(4):20-23.
[3] EL-Qallali A. Abundant semigroups with a multiplicative type A transversal[J]. Semigroup Forum, 1993, 47:327-340.
[4] KONG Xiangjun. Some properties associated with adequate transversals[J]. Canadian Math Bull, 2011, 54(3):487-497.
[5] KONG Xiangjun, WANG Pei. The product of quasi-ideal adequate transversals of an abundant semigroup[J]. Semigroup Forum, 2011, 83(2):304-312.
[6] 孔祥军,罗彦锋.具有左简纯正断面的正则半群[J].中国科学, 2011, 41(8):745-757. KONG Xiangjun, LUO Yanfeng. Regular semigroups with left simplistic orthodox transversals[J]. Sci Sin Math, 2011, 41(8):745-757.
[7] NI Xiangfei. Abundant semigroups with a multiplicative quasi-adequate transversal[J]. Semigroup Forum, 2009, 78(1):34-53.
[8] NI Xiangfei, LUO Yanfeng. Good congruences on abundant semigroups with multiplicative quasi-adequate transversals[J]. Semigroup Forum, 2011, 82(2):324-337.
[9] KONG Xiangjun, WANG Pei. A new construction for abundant semigroups with multiplicative quasi-adequate transversals[J]. Publ Math Debrecen, 2011, 78(1):141-157.
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