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2. Free algebra - Wikipedia

   en.wikipedia.org/wiki/Free_algebra

   For example, X 1 X 2 does not equal X 2 X 1. More generally, one can construct the free algebra R E on any set E of generators. Since rings may be regarded as Z-algebras, a free ring on E can be defined as the free algebra Z E . Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional ...

3. Boolean algebra - Wikipedia

   en.wikipedia.org/wiki/Boolean_algebra

   In mathematics and 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 values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses logical operators such ...

4. Boolean algebras canonically defined - Wikipedia

   en.wikipedia.org/wiki/Boolean_algebras...

   Boolean algebra is a mathematically rich branch of abstract algebra. Stanford Encyclopaedia of Philosophy defines Boolean algebra as 'the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation.'. [1] Just as group theory deals with groups, and linear algebra with vector ...

5. Hallmark Business Connections - Wikipedia

   en.wikipedia.org/wiki/Hallmark_Business_Connections

   shop .hallmarkbusinessconnections .com. Hallmark Business Connections, formerly Hallmark Business Expressions is a subsidiary of Hallmark Cards, headquartered in Kansas City, Missouri. Hallmark Business Connections targets businesses who use greeting cards. The company specializes in creating custom business greeting cards.

6. Tensor product of algebras - Wikipedia

   en.wikipedia.org/wiki/Tensor_product_of_algebras

   This ring is an R-algebra, associative and unital with identity element given by 1 A ⊗ 1 B. where 1 A and 1 B are the identity elements of A and B. If A and B are commutative, then the tensor product is commutative as well. The tensor product turns the category of R-algebras into a symmetric monoidal category. [citation needed]

7. Outline of algebra - Wikipedia

   en.wikipedia.org/wiki/Outline_of_algebra

   Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers, variables, and polynomials, along with their factorization and determining their roots. In addition to working directly with numbers, algebra also covers symbols, variables ...