caa a22 4500 445378875 CHVBK 20180317143011.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10485-010-9230-3 doi (NATIONALLICENCE)springer-10.1007/s10485-010-9230-3 Radul Taras Department of Mechanics and Mathematics, Lviv National University, Universytetska st., 1, 79000, Lviv, Ukraine aut Convexities Generated by L -Monads [Elektronische Daten] [Taras Radul] Let $\mathbb{F}$ be a monad in the category Comp. We build for each $\mathbb{F}$ -algebra a convexity in general sense (see van de Vel 1993). We investigate properties of such convexities and apply them to prove that the multiplication map of the order-preserving functional monad is soft. Springer Science+Business Media B.V., 2010 Monad nationallicence Convexity nationallicence Soft map nationallicence Applied Categorical Structures Springer Netherlands 19/4(2011-08-01), 729-739 0927-2852 19:4<729 2011 19 10485 https://doi.org/10.1007/s10485-010-9230-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-010-9230-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Radul Taras Department of Mechanics and Mathematics, Lviv National University, Universytetska st., 1, 79000, Lviv, Ukraine aut NATIONALLICENCE 773 0- Applied Categorical Structures Springer Netherlands 19/4(2011-08-01), 729-739 0927-2852 19:4<729 2011 19 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer