ON CONDITIONS FOR CONSTELLATIONS

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

International Electronic Journal of Algebra
Volume:10 Issue:10
ON CONDITIONS FOR CONSTELLATIONS

ON CONDITIONS FOR CONSTELLATIONS

Authors : Christopher Hollings

Pages : 1-24

View : 13 | Download : 11

Publication Date : 2011-12-01

Article Type : Research Paper

Abstract :A constellation is a set with a partially-defined binary operation and a unary operation satisfying certain conditions, which, loosely speaking, provides a ‘one-sided’ analogue of a category, where we have a notion of ‘domain’ but not of ‘range’. Upon the introduction of an ordering, we may define so-called inductive constellations. These prove to be a significant tool in the study of an important class of semigroups, termed left restriction semigroups, which arise from the study of systems of partial transformations. In this paper, we study the defining conditions for insert ignore into journalissuearticles values(inductive); constellations and determine that certain of the original conditions from previous papers are redundant. Having weeded out this redundancy, we show, by the construction of suitable counterexamples, that the remaining conditions are independent.
Keywords : constellation, replete, right cancellative, ordered, inductive

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.