caa a22 4500 445344776 CHVBK 20180317142825.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00233-010-9269-3 doi (NATIONALLICENCE)springer-10.1007/s00233-010-9269-3 The relation of semiadjacency on ∩-semigroups oftransformations [Elektronische Daten] [Wieslaw Dudek, Valentin Trokhimenko] We consider two relations on a ∩-semigroup of partial functions on a given set: the inclusion of domains and semiadjacency (i.e., the inclusion of the image of the first function in the domain of the second). These are characterized from an abstract point of view via a system of elementary axioms, i.e., conditions expressed in the language of pure predicate calculus with equality. Springer Science+Business Media, LLC, 2010 Semigroup nationallicence Semigroup of transformations nationallicence Algebra of functions nationallicence Semiadjacency relation nationallicence Dudek Wieslaw Institute of Mathematics and Computer Science, Wroclaw University of Technology, 50-370, Wroclaw, Poland aut Trokhimenko Valentin Department of Mathematics, Pedagogical University, 21100, Vinnitsa, Ukraine aut Semigroup Forum Springer-Verlag 82/1(2011-02-01), 109-120 0037-1912 82:1<109 2011 82 233 https://doi.org/10.1007/s00233-010-9269-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-010-9269-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dudek Wieslaw Institute of Mathematics and Computer Science, Wroclaw University of Technology, 50-370, Wroclaw, Poland aut NATIONALLICENCE 700 1- Trokhimenko Valentin Department of Mathematics, Pedagogical University, 21100, Vinnitsa, Ukraine aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 82/1(2011-02-01), 109-120 0037-1912 82:1<109 2011 82 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer