Latest Articles for Algebra

Exploring the role of Banach metrics in understanding group structures and their properties.

Chern-Ricci flow reveals insights into geometric structures over time.

A study of polynomials associated with edge ideals and their implications in graph properties.

A look at automorphisms, field extensions, and their intricate relationships.

Exploring the shapes and algebra behind polyominoes and their applications.

An overview of Artin groups, their properties, and associated challenges.

Geometric algebra provides a unified approach to geometry without heavy reliance on coordinates.

Exploring the relationship between crystalline representations and number theory structures.

A look into unitary groups, von Neumann algebras, and the universal covering group.

Understanding how numbers can be expressed as sums of other numbers.

Exploring the complexities of Laurent series fields and their undecidability.

An overview of group algebras, circulant rings, and modular representation theory.

Recent advancements in algebraic geometry reveal new connections in polynomial intersections.

Exploring the connections between rational curves and complex surfaces.

Explore the role of characters in analyzing group structures and their properties.

An overview of sheaves and their importance in algebraic geometry.

A look into sofic actions and their significance in group theory.

Discover the connections of modular forms with other areas of mathematics.

A look into Somos-5 sequences and their properties with dual numbers.

A novel algorithm improves calculations for theta functions in Schottky groups.

This study reveals the existence of non-trivial automorphisms in Polish groups.

This article discusses the significance of link invariants, focusing on the Bénard-Conway invariant.

This article explores important aspects of nilpotent injectors and Carter subgroups in group theory.

A look into the stability of mathematical structures like Lie algebras and groups.

Chevalley groups connect algebra and geometry through Lie algebras.

An overview of structures and classifications within SU(2)-abelian graph manifolds.

Exploring the significance of hyperkähler manifolds in mathematics and their applications in physics.

A look into the concept and applications of fibrations in mathematics.

Exploring the links between Leavitt algebras, chip firing models, and symbolic dynamics.

Exploring Rozansky-Witten models and their significance in mathematics and physics.

A look into the study of complex three-dimensional shapes.

Quivers offer deep insights into algebraic structures and relationships.

Exploring the complexities of indefinite Einstein metrics within solvmanifolds.

A look into algebraic extensions and their undecidable challenges in mathematics.

A look at the GAGA theorem connecting two fields of mathematics.

A look into elliptic curves, isogenies, and their connections in mathematics.

Exploring elliptic curves and their ranks in relation to primes.

New insights on the Skolem Problem for linear recurrence sequences of order four.

This article explores weight multiplicities and their connections in algebra and representation theory.

This article examines the link between groups and number fields in algebra.