caa a22 4500 445344970 CHVBK 20180317142826.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00233-011-9293-y doi (NATIONALLICENCE)springer-10.1007/s00233-011-9293-y Eω -Clifford congruences and Eω - E -reflexive congruences on an inverse semigroup [Elektronische Daten] [Li-Min Wang, Ying-Ying Feng] This paper enlarges the list of properties of the congruence sequences starting from the universal relation and successively performing the operations of lowerT and lowerK. Two classes of inverse semigroups, namely Eω-Clifford semigroups and Eω-E-reflexive semigroups, are studied. ((ω T)K)T and (((ω T)K)T)K are found to be the least Eω-Clifford and Eω-E-reflexive congruences on S, respectively. Characterizations of the congruences ((ω T)K)T and (((ω T)K)T)K are developed. The lattices of all Eω-Clifford and Eω-E-reflexive congruences are also studied. Springer Science+Business Media, LLC, 2011 Inverse semigroup nationallicence Congruence nationallicence Eω -Clifford semigroup nationallicence Eω - E -reflexive semigroup nationallicence Wang Li-Min School of Mathematics, South China Normal University, 510631, Guangzhou, Guangdong, P.R. China aut Feng Ying-Ying Department of Mathematics, Foshan University, 528000, Foshan, Guangdong, P.R. China aut Semigroup Forum Springer-Verlag 82/2(2011-04-01), 354-366 0037-1912 82:2<354 2011 82 233 https://doi.org/10.1007/s00233-011-9293-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-011-9293-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Li-Min School of Mathematics, South China Normal University, 510631, Guangzhou, Guangdong, P.R. China aut NATIONALLICENCE 700 1- Feng Ying-Ying Department of Mathematics, Foshan University, 528000, Foshan, Guangdong, P.R. China aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 82/2(2011-04-01), 354-366 0037-1912 82:2<354 2011 82 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer