Mathematics - Rings and Algebras

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Commutative Algebra Understanding Cotorsion Pairs and Their Role in Mathematics

An overview of cotorsion pairs and tor-pairs in algebra.

Dolors Herbera, Michal Hrbek, Giovanna Le Gros

2 hours ago ― 6 min read

Latest Articles

Representation Theory Connecting Simple Modules and Incidence Algebras

An overview of simple modules and incidence algebras in mathematics.

Viktor Bekkert, John William MacQuarrie, Júlio Marques

May 20, 2025 ― 6 min read

Representation Theory Cartan Matrices and Quivers: A Math Gathering

Explore the connections between Cartan matrices and quivers in a lively context.

Yixin Lan, Yumeng Wu, Jie Xiao

May 16, 2025 ― 7 min read

Rings and Algebras Understanding Tight and Essentially Tight Modules

A straightforward look at different types of modules in algebra.

Nasief Khlaif, Mohammad Saleh

May 10, 2025 ― 7 min read

Representation Theory Understanding Algebraic Friendships

A look at how different algebras can work together.

Darius Dramburg, Mads Hustad Sandøy

May 9, 2025 ― 5 min read

Rings and Algebras Understanding Diagram Monoids: A Simple Guide

Explore the basics and applications of diagram monoids in various fields.

Reinis Cirpons, James East, James D. Mitchell

May 8, 2025 ― 5 min read

Representation Theory Weyl Modules: An Insightful Look into Representation Theory

Discover Weyl modules and their significance in algebraic structures.

Vladimir Dotsenko, Sergey Mozgovoy

Apr 30, 2025 ― 4 min read

Commutative Algebra Mathematical Party Dynamics of Nilpotent Matrices

Exploring how nilpotent matrices interact through partitions and dynamics.

Mats Boij, Anthony Iarrobino, Leila Khatami

Apr 27, 2025 ― 6 min read

Rings and Algebras Bicomplex Numbers: A New Perspective on Mathematics

Discover the fascinating world of bicomplex numbers and their unique properties.

Amita, Mamta Amol Wagh, Suman Kumar

Mar 27, 2025 ― 6 min read

Rings and Algebras Understanding the Length of Algebras

Explore the significance and complexity of algebra lengths in mathematics.

M. A. Khrystik

Mar 27, 2025 ― 7 min read

Combinatorics The Fascinating World of Permutation Clones

Discover the intricate structures and possibilities of permutation clones in mathematics.

Tim Boykett

Mar 25, 2025 ― 5 min read

Rings and Algebras Cubic Matrices: The Hidden Force in Data Handling

Explore how cubic matrices shape our data-driven world.

Daizhan Cheng

Mar 24, 2025 ― 6 min read

Quantum Algebra Vertex and Gorenstein Algebras: A Deep Dive

Exploring the intriguing links between vertex algebras and Gorenstein algebras.

Alex Keene, Christian Soltermann, Gaywalee Yamskulna

Mar 21, 2025 ― 5 min read

Rings and Algebras Understanding Lie Algebras: Structure and Symmetry

A look into Lie algebras and their role in math and physics.

Simone Blumer

Mar 15, 2025 ― 7 min read

Combinatorics The Intricacies of Graphical Arrangements

Discover the fascinating links between graphical arrangements and chromatic polynomials.

Tongyu Nian, Shuhei Tsujie, Ryo Uchiumi

Mar 15, 2025 ― 5 min read

Rings and Algebras The Intriguing World of Skew Bracoids

Explore the fascinating structures of skew bracoids and their mathematical significance.

Isabel Martin-Lyons

Mar 9, 2025 ― 6 min read

Rings and Algebras Understanding Rough Sets: A Clear Approach

Rough sets simplify uncertainty in data analysis, revealing connections within complex information.

Jouni Järvinen, Sándor Radeleczki

Mar 6, 2025 ― 7 min read

Algebraic Geometry Transformations in Algebraic Geometry: The Flops

Explore the fascinating world of derived categories and geometric transformations.

Wahei Hara

Feb 23, 2025 ― 6 min read

Rings and Algebras Understanding Partial Semigroupoid Actions

Discover the nuances of partial actions and their global implications in mathematics.

Rafael Haag Petasny, Thaísa Tamusiunas

Feb 22, 2025 ― 8 min read

Rings and Algebras Unraveling the Sharp Partial Order in Matrices

Discover how matrices relate through the sharp partial order and its fascinating properties.

Cecilia R. Cimadamore, Laura A. Rueda, Néstor Thome

Jan 27, 2025 ― 7 min read

Differential Geometry Unraveling Ideals in Lie Algebras

A light-hearted look at ideals in Lie algebras and their significance.

I. Ermeidis, M. Jotz

Jan 22, 2025 ― 6 min read

Robotics Smart Robots: Tackling Tough Movements

Discover how robots use new methods to navigate tricky movements.

Andreas Mueller

Jan 21, 2025 ― 6 min read