List of commutative algebra topics information

Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry...

Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings....

algebra topics List of homological algebra topics List of linear algebra topics List of algebraic structures Glossary of field theory Glossary of group...

of algebraic structures List of Boolean algebra topics List of category theory topics List of cohomology theories List of commutative algebra topics List...

This is a list of homological algebra topics, by Wikipedia page. Cokernel Exact sequence Chain complex Differential module Five lemma Short five lemma...

This is a list of algebraic topology topics. Simplex Simplicial complex Polytope Triangulation Barycentric subdivision Simplicial approximation theorem...

glossary of commutative algebra. See also list of algebraic geometry topics, glossary of classical algebraic geometry, glossary of algebraic geometry...

This is a list of algebraic geometry topics, by Wikipedia page. Affine space Projective space Projective line, cross-ratio Projective plane Line at infinity...

a generalization of spectral theory of a single operator. In general operator algebras are non-commutative rings. An operator algebra is typically required...

geometry, that studies the geometric properties of formal duals of non-commutative algebraic objects such as rings as well as geometric objects derived from...

and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis,...

mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings...

enormous role in algebraic topology. Its influence has gradually expanded and presently includes commutative algebra, algebraic geometry, algebraic number theory...

Sylow J. Thompson J. Tits Helmut Wielandt H. Zassenhaus M. Zorn List of abstract algebra topics List of category theory topics List of Lie group topics...

Grassmann published his "Theory of Extension" which included foundational new topics of what is today called linear algebra. In 1848, James Joseph Sylvester...

mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth...

types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures...

century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations...

Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra with the additional structure of a distinguished...

in the field of algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

Residuated Boolean algebra Two-element Boolean algebra Modal algebra Derivative algebra (abstract algebra) Relation algebra Absorption law Laws of Form De Morgan's...

In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements...

algebra (also known as a Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is...

neither commutative nor is it anti-commutative: it is merely associative. Thus, one has the general statement that the tensor algebra of any Lie algebra is...

Positive number Negative number Prime number List of prime numbers Highly composite number Perfect number Algebraic number Transcendental number Hypercomplex...