3 papers
math.RA2026
Partially Alternative Real Division Algebras With A Few Imaginary Units
Tianran Hua, Marina Tvalavadze
In this paper, we extend the investigation of four-dimensional partially alternative algebras initiated in \cite{HNT}. The partial alternativity condition, a natural g…
math.GN2026
Limiter Spaces: A Universal Extension for Limits of Real Sequences
Steven Lapp, Marina Tvalavadze
We introduce the Limiter, a universal extension of the real numbers and of the limit functional that assigns a canonical limit in an enlarged space to every real sequence. Motivate…
math.RA2025
Partially Alternative Algebras
Tianran Hua, Ekaterina Napedenina, Marina Tvalavadze
In this paper, we introduce a novel generalization of the classical property of algebras known as "being alternative," which we term "partially alternative." This new concept broad…