Absolute retractness of automata on directed complete posets

DOI10.1142/S0219498817500086zbMath1401.06017MaRDI QIDQ2958474

M. Mehdi Ebrahimi, Mahdieh Yavari, Mojgan Mahmoudi

Publication date: 2 February 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

absolute retractdirected complete posetaction of a monoid

Mathematics Subject Classification ID

Algebraic theory of languages and automata (68Q70) Ordered semigroups and monoids (06F05) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30) Injectives, projectives (08B30)

Related Items (3)

Simple and subdirectly irreducible finitely supported \(Cb\)-sets ⋮ Absolute retractness of automata on directed complete posets ⋮ Down closed injectivity and essentialness

Cites Work

• Free and cofree acts of dcpo-monoids on directed complete posets.
• On local connectedness of absolute retracts.
• Algebra in a Grothendieck topos: Injectivity in quasi-equational classes
• Mathematical foundations of programming language semantics. 3rd workshop, Tulane University, New Orleans, Louisiana, USA, April 8--10, 1987. Proceedings
• Completion of \(S\)-posets
• Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
• Categorial characterization of the MacNeille completion
• Absolute retractness of automata on directed complete posets
• Equivariant completeness and regular injectivity ofS-posets
• On Injectivity in Locally Presentable Categories
• The Injective Envelope of S-Sets
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