Abstract
Let X be a set and let R be a binary relation on X. A subset L of X is said to be a lower set of X := (X, R) provided whenever x ∈ L and y ∈ X with yRx, then also y ∈ L. In this note, we study binary relational structures X with the property that distinct lower sets of X have distinct cardinalities.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Coleman E.: Jónsson groups, rings, and algebras. Irish Math. Soc. Bull. 36, 34–45 (1996)
Jech, T.: Set Theory (third millennium edition). Springer Monographs in Mathematics, New York (2002)
Kearnes K., Oman G.: Jónsson posets and unary Jónsson algebras. Algebra Universalis 69, 101–112 (2013)
Oman G.: Strongly Jónsson and strongly HS modules. J. Pure Appl. Algebra 218, 1385–1399 (2014)
Author information
Authors and Affiliations
Corresponding author
Additional information
Presented by R. Freese.
Rights and permissions
About this article
Cite this article
Oman, G. A note on strongly Jónsson binary relational structures. Algebra Univers. 73, 97–101 (2015). https://doi.org/10.1007/s00012-014-0314-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00012-014-0314-z