Elements of Boolean Algebra - Books in the Mathematical Sciences
Elements of Boolean Algebra - Books in the Mathematical Sciences

maximal subspaces of zeros of quadratic forms over finite fields
maximal subspaces of zeros of quadratic forms over finite fields

The Kauffman Bracket Skein Algebra of the Punctured Torus by Jea
The Kauffman Bracket Skein Algebra of the Punctured Torus by Jea

Lecture 1: Lattice ideals and lattice basis ideals
Lecture 1: Lattice ideals and lattice basis ideals

Elliptic Curves Lecture Notes
Elliptic Curves Lecture Notes

PDF of Version 2.0-T of GIAA here.
PDF of Version 2.0-T of GIAA here.

INTEGRAL DOMAINS OF FINITE t-CHARACTER Introduction An
INTEGRAL DOMAINS OF FINITE t-CHARACTER Introduction An

SERRE DUALITY FOR NONCOMMUTATIVE PROJECTIVE
SERRE DUALITY FOR NONCOMMUTATIVE PROJECTIVE

LOCAL FIELDS AND p-ADIC GROUPS In these notes, we follow [N
LOCAL FIELDS AND p-ADIC GROUPS In these notes, we follow [N

rings without a gorenstein analogue of the govorov–lazard theorem
rings without a gorenstein analogue of the govorov–lazard theorem

... Abstract It was proved by Beligiannis and Krause that over certain Artin algebras, there are Gorenstein flat modules which are not direct limits of finitely generated Gorenstein projective modules. That is, these algebras have no Gorenstein analogue of the Govorov–Lazard theorem. We show that, in fa ...
Finitely generated groups with automatic presentations
Finitely generated groups with automatic presentations

slides
slides

Computing self-intersection curves of rational ruled surfaces
Computing self-intersection curves of rational ruled surfaces

Symmeric self-adjoint Hopf categories and a categorical Heisenberg double June 17, 2014
Symmeric self-adjoint Hopf categories and a categorical Heisenberg double June 17, 2014

PDF
PDF

Sample pages 2 PDF
Sample pages 2 PDF

Shuffle on positive varieties of languages.
Shuffle on positive varieties of languages.

LECTURE 12: HOPF ALGEBRA (sl ) Introduction
LECTURE 12: HOPF ALGEBRA (sl ) Introduction

Brauer-Thrall for totally reflexive modules
Brauer-Thrall for totally reflexive modules

NON-SEMIGROUP GRADINGS OF ASSOCIATIVE ALGEBRAS Let A
NON-SEMIGROUP GRADINGS OF ASSOCIATIVE ALGEBRAS Let A

Quadratic fields
Quadratic fields

Noncommutative Monomial Symmetric Functions.
Noncommutative Monomial Symmetric Functions.

the structure of certain operator algebras
the structure of certain operator algebras

The Functor Category in Relation to the Model Theory of Modules
The Functor Category in Relation to the Model Theory of Modules

On the representation of operators in bases of compactly supported
On the representation of operators in bases of compactly supported

Polynomial ring

In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field. Polynomial rings have influenced much of mathematics, from the Hilbert basis theorem, to the construction of splitting fields, and to the understanding of a linear operator. Many important conjectures involving polynomial rings, such as Serre's problem, have influenced the study of other rings, and have influenced even the definition of other rings, such as group rings and rings of formal power series.A closely related notion is that of the ring of polynomial functions on a vector space.