Researchers have developed a novel algebraic model of DNA hybridization, a process central to most biotechnology devices that monitor changes in cell's gene expression or characterize a cell's genome.

The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

Model theory offers a robust logical framework for exploring the intricacies of algebraic structures, bridging abstract logic and concrete algebraic systems. Through the examination of models – ...

In the equivariant category of spaces with an action of a finite group, algebraic 'minimal models' exist which describe the rational homotopy for G-spaces which are 1-connected and of finite type.

A simple mathematical model has helped chemists selectively synthesise a novel interwoven catenane structure. Researchers say models such as these may help improve chemists’ understanding of how to ...

An algebraic duality theory is developed between 1-connected minimal cochain algebras of finite type and connected minimal chain Lie algebras of finite type by means of twisting cochains. The duality ...