caa a22 4500 445345020 CHVBK 20180317142826.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00233-010-9286-2 doi (NATIONALLICENCE)springer-10.1007/s00233-010-9286-2 Good congruences on abundant semigroups with multiplicative quasi-adequate transversals [Elektronische Daten] [Xiangfei Ni, Yanfeng Luo, HaiZhou Chao] In this paper, some properties of good homomorphic images of abundant semigroups with a multiplicative quasi-adequate transversal are obtained. After that, good congruences on a class of abundant semigroups with such transversals are studied. We characterize the good congruences by using the so-called good congruence triple. Furthermore, we prove that any good congruence on a class of abundant semigroups with such transversals can be constructed by the good congruence triple. Springer Science+Business Media, LLC, 2010 Abundant semigroups nationallicence Multiplicative nationallicence Quasi-adequate transversal nationallicence Good homomorphism nationallicence Good congruence nationallicence Ni Xiangfei Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, Zhejiang, China aut Luo Yanfeng Department of Mathematics, Lanzhou University, 730000, Lanzhou, Ganshu, China aut Chao HaiZhou LongQiao School of Lanzhou Commercial College, 730000, Lanzhou, Ganshu, China aut Semigroup Forum Springer-Verlag 82/2(2011-04-01), 324-337 0037-1912 82:2<324 2011 82 233 https://doi.org/10.1007/s00233-010-9286-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-010-9286-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ni Xiangfei Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, Zhejiang, China aut NATIONALLICENCE 700 1- Luo Yanfeng Department of Mathematics, Lanzhou University, 730000, Lanzhou, Ganshu, China aut NATIONALLICENCE 700 1- Chao HaiZhou LongQiao School of Lanzhou Commercial College, 730000, Lanzhou, Ganshu, China aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 82/2(2011-04-01), 324-337 0037-1912 82:2<324 2011 82 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer