Commutative algebra and algebraic geometry form a deeply interwoven field that investigates the structure of polynomial rings, their ideals, and the geometric objects defined by these algebraic sets.

Algebraic structures, encompassing groups, rings, fields and modules, have long formed the backbone of modern mathematics. Category theory, with its focus on objects and morphisms, provides a unifying ...

The same method is used for adding / subtracting both numerical fractions and algebraic fractions. Find a common denominator Write each fraction as an equivalent fraction with the common denominator ...

We show how to use the Grassmann-Cayley algebra to model systems of one, two and three cameras. We start with a brief introduction of the Grassmann-Cayley or double algebra and proceed to demonstrate ...

If the mention of algebra conjures bad memories of math classes, a Python library called SymPy could change your mind about ...

Japanese mathematician Masaki Kashiwara wins Abel Prize for contributions to algebraic analysis and representation theory at ...

Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.