For instance, rings are sets with two operations which generalize the usual numbers. An area of research at Michigan Tech is commutative algebra, namely the study of those rings where both operations ...

This introductory account of commutative algebra is aimed at students with a background only in basic algebra. Professor Sharp's book provides a good foundation from which the reader can proceed to ...

In the 2012–13 academic year, the Mathematical Sciences Research Institute, Berkeley, hosted programs in Commutative Algebra (Fall 2012 and Spring 2013) and Noncommutative Algebraic Geometry and ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

Several fields of mathematics have developed in total isolation, using their own "undecipherable" coded languages. In a new ...

What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as ...

Augustine O'Keefe's research lies at the intersection of commutative algebra, combinatorics, and topology. In particular, she is interested in monomial and toric binomial ideals defined from ...

These components become part of an ongoing process in which children constantly integrate new concepts and procedural skills as they solve more advanced math problems. For children to succeed in ...

Computational and Applied Mathematics Computational and Applied Mathematics students develop expertise in the theory and application of ordinary and partial differential equations, linear algebra, and ...

$\bullet$ Homotopy theory and Higher Algebra. $\bullet$ Algebraic $K$-theory. $\bullet$ Field theories and mathematical Physics. $\bullet$ (topological) Hochschild ...

A simple math problem may seem to some of us like an inscrutable pile of numbers and symbols, just waiting to trip us up.

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. In a new study published in PNAS ...