Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-08T13:30:11.288Z Has data issue: false hasContentIssue false
  • English
  • Français

Pushout complements for partly total algebras

Published online by Cambridge University Press:  08 May 2002

PETER BURMEISTER ,
MERCÈ LLABRÉS  and
FRANCESC ROSSELLÓ
PETER BURMEISTER
Affiliation:
Fachbereich Mathematik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany. Email: burmeister@mathematik.tu-darmstadt.de
MERCÈ LLABRÉS
Affiliation:
Departament de Ciències Matemàtiques i Informàtica, Universitat de les Illes Balears, E-07071 Palma de Mallorca, Spain. Email: merce@ipc4.uib.es, cesc@ipc4.uib.es
FRANCESC ROSSELLÓ
Affiliation:
Departament de Ciències Matemàtiques i Informàtica, Universitat de les Illes Balears, E-07071 Palma de Mallorca, Spain. Email: merce@ipc4.uib.es, cesc@ipc4.uib.es
Get access Rights & Permissions [Opens in a new window]

Abstract

Let Σ be an arbitrary signature and ϒ be a non-empty set of operation symbols within it. A (partial) Σ-algebra is ϒ-total when all its operations in ϒ are total: these are the partly total algebras in the title, and they include total algebras and attributed graphs. In this paper we establish a necessary and sufficient condition on a pair of homomorphisms of ϒ-total Σ-algebras for the existence of a pushout complement of them. This solves the application problem for the double-pushout transformation of these kinds of structure.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 12 , Issue 2 , April 2002 , pp. 177 - 201
Copyright
© 2002 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This work was supported in part by the DGES, grant PB96-0191-C02-01. M. Llabrés has also been partially supported by the EU TMR Network GETGRATS through the Technische Universität Berlin and the Università di Pisa.