caa a22 4500 44534489X CHVBK 20180317142825.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00233-010-9283-5 doi (NATIONALLICENCE)springer-10.1007/s00233-010-9283-5 On strongly flat and condition (P) S -posets [Elektronische Daten] [M. Ershad, R. Khosravi] In this paper, we first present some homological classifications of pomonoids by using condition (P) and strongly flat properties. Unlike the case for acts, condition (P) and strongly flat coincide for cyclic right S-posets when all weakly right reversible convex subpomonoids of a pomonoid S are left collapsible. Thereby we characterize pomonoids over which strong flatness and condition (P) imply some other flatness properties. Furthermore, we characterize a pomonoid over which every right S-poset has a strongly flat (condition (P)) cover. Springer Science+Business Media, LLC, 2010 Pomonoids nationallicence S -posets nationallicence Strongly flat nationallicence Condition(P) nationallicence Cover nationallicence Ershad M. Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran aut Khosravi R. Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran aut Semigroup Forum Springer-Verlag 82/3(2011-06-01), 530-541 0037-1912 82:3<530 2011 82 233 https://doi.org/10.1007/s00233-010-9283-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-010-9283-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ershad M. Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran aut NATIONALLICENCE 700 1- Khosravi R. Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 82/3(2011-06-01), 530-541 0037-1912 82:3<530 2011 82 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer