Latest Articles for Algebra

Exploring the connections between Selmer groups, curves, and their ranks.

This study reveals links between two important algebraic structures in symplectic geometry.

Learn about Lie algebras, Cartan subalgebras, and their relationships through Kac diagrams.

A look into Terwilliger algebras and their role in association schemes.

A look into twisted modules and Zhu algebra in vertex operator algebras.

An overview of the KZ equation and related mathematical structures.

Exploring the relationship between points and polynomials in Demailly's conjecture.

Examining relationships between geometric shapes and algebraic solutions in mathematics.

A detailed exploration of Camina groups and their algebraic properties.

A look at how graded ideals relate in algebraic structures.

A look into bi-Lagrangian Grassmannians and their significance in geometry and physics.

Explore the significance of irreducible ideals in the structure of monoids.

An overview of symmetric functions, their properties, and key applications in mathematics.

HypersurfaceRegions.jl helps researchers analyze complex mathematical structures.

A look at lattices, their types, operations, and applications.

Explore the unique structures and operations of lattice knots in geometry and algebra.

Exploring the significance of generalized algebras in mathematics and logic.

An overview of dynamical irreducibility and its significance in polynomial behavior.

A look into Kähler manifolds and their significance in mathematics.

A look into the complexities of counting rational curves and their singular points.

An exploration of polynomial functions and their significance in non-commutative rings.

An overview of model theory's impact on mathematical structures and relationships.

Research on how 3-manifolds can fit into 4-dimensional spaces.

A look into Lagrangians and their role in symplectic geometry through surgeries.

A look into varieties, stratifications, and monomial theories explained simply.

Exploring the properties and significance of Artin and braid groups in mathematics.

Exploring the structure and significance of diagram algebras in mathematics.

Examining the impact of Dehn twists on four-dimensional structures.

An overview of commutative algebras and their applications in advanced mathematical contexts.

A look into trees and their properties in mathematics.

A look into polynomial equations and their various types of solutions.

Exploring the properties and transformations of Thompson's group in Cantor space.

A new approach to graph homomorphisms sheds light on complex problems.

Research reveals connections between quantum theory and mathematical structures.

Cyclic subgroup graphs reveal important relationships between cyclic subgroups in mathematics.

An overview of root systems and their role in mathematics and beyond.

This article explores hypergeometric functions and their significance in number theory.

A deeper look into polynomial and Laurent polynomial structures and their applications.

A look at the Gelfand-Naimark Theorem linking topology and algebra.

A look into flexible mathematics and its impact on geometry.