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 – ...

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

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.

Defining a composition operation on sets of formulas one obtains a manysorted algebra which satisfies the superassociative law and one more identity. This algebra is called the clone of formulas of ...