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2. Free algebra - Wikipedia

   en.wikipedia.org/wiki/Free_algebra

   Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional vector space. For a more general coefficient ring, the same construction works if we take the free module on n generators. The construction of the free algebra on E is functorial in nature and satisfies an appropriate universal property.

3. Category:Algebras - Wikipedia

   en.wikipedia.org/wiki/Category:Algebras

   Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. ... Free algebra; Frobenius algebra;

4. Free Lie algebra - Wikipedia

   en.wikipedia.org/wiki/Free_Lie_algebra

   The universal enveloping algebra of a free Lie algebra on a set X is the free associative algebra generated by X.By the Poincaré–Birkhoff–Witt theorem it is the "same size" as the symmetric algebra of the free Lie algebra (meaning that if both sides are graded by giving elements of X degree 1 then they are isomorphic as graded vector spaces).

5. Free Boolean algebra - Wikipedia

   en.wikipedia.org/wiki/Free_Boolean_algebra

   The Hasse diagram of the free Boolean algebra on two generators, p and q. Take p (left circle) to be "John is tall" and q (right circle)to be "Mary is rich". The atoms are the four elements in the row just above FALSE. The generators of a free Boolean algebra can represent independent propositions. Consider, for example, the propositions "John ...

6. Free object - Wikipedia

   en.wikipedia.org/wiki/Free_object

   In mathematics, the idea of a free object is one of the basic concepts of abstract algebra.Informally, a free object over a set A can be thought of as being a "generic" algebraic structure over A: the only equations that hold between elements of the free object are those that follow from the defining axioms of the algebraic structure.

7. SageMath - Wikipedia

   en.wikipedia.org/wiki/SageMath

   Both binaries and source code are available for SageMath from the download page. If SageMath is built from source code, many of the included libraries such as OpenBLAS, FLINT, GAP (computer algebra system), and NTL will be tuned and optimized for that computer, taking into account the number of processors, the size of their caches, whether there is hardware support for SSE instructions, etc.