Definition:Non-Reflexive Relation/Also known as

Non-Reflexive Relation: Also known as

Some sources do not hyphenate: nonreflexive relation.

Some sources use the term irreflexive relation when non-reflexive is the sense intended.

However, as irreflexive is also found in other sources to mean antireflexive, it is better to use the clumsier, but less ambiguous, non-reflexive.

Some sources avoid giving a name to a relation which is neither reflexive nor antireflexive, merely referring to such a relation by its properties.

Sources

• 1977: Gary Chartrand: Introductory Graph Theory ... (previous) ... (next): Appendix $\text{A}.2$: Cartesian Products and Relations
• 1996: Winfried Just and Martin Weese: Discovering Modern Set Theory. I: The Basics ... (previous) ... (next): Part $1$: Not Entirely Naive Set Theory: Chapter $1$: Pairs, Relations, and Functions