caa a22 4500 386360855 CHVBK 20180307111914.0 cr unu---uuuuu 161130e198904 xx s 000 0 eng 10.1017/S0004972700002756 doi S0004972700002756 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700002756 Pöschel R. Karl-Weierstrass-Institut für Mathematik, Akademie der Wissenschaften der DDR, Mohrenstr. 39 (Postfach 1304), Berlin, DDR-1086, German Democratic Republic. Graph varieties containing Murskii's groupoid [Elektronische Daten] [R. Pöschel] In this paper varieties are investigated which are generated by graph algebras of undirected graphs and—in most cases—contain Murskii's groupoid (that is the graph algebra of the graph with two adjacent vertices and one loop). Though these varieties are inherently nonfinitely based, they can be finitely based as graph varieties (finitely graph based) like, for example, the varitey generated by Murskii's groupoid. Many examples of nonfinitely based graph varities containing Murskii's groupoid are given, too. Moreover, the coatoms in the subvariety lattice of the graph variety of all undirected graphs are described. There are two coatoms and they are finitely graph based. Copyright © Australian Mathematical Society 1989 Bulletin of the Australian Mathematical Society Cambridge University Press 39/2(1989-04), 265-276 0004-9727 39:2<265 1989 39 BAZ https://doi.org/10.1017/S0004972700002756 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700002756 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pöschel R. Karl-Weierstrass-Institut für Mathematik, Akademie der Wissenschaften der DDR, Mohrenstr. 39 (Postfach 1304), Berlin, DDR-1086, German Democratic Republic NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 39/2(1989-04), 265-276 0004-9727 39:2<265 1989 39 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge