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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. Help:Displaying a formula - Wikipedia

   en.wikipedia.org/wiki/Help:Displaying_a_formula

   The code for the math example reads: <math display= "inline" > \sum_{i=0}^\infty 2^{-i} </math> The quotation marks around inline are optional and display=inline is also valid. [2] Technically, the command \textstyle will be added to the user input before the TeX command is passed to the renderer. The result will be displayed without further ...

4. List of algebras - Wikipedia

   en.wikipedia.org/wiki/List_of_algebras

   This is a list of possibly nonassociative algebras.An algebra is a module, wherein you can also multiply two module elements. (The multiplication in the module is compatible with multiplication-by-scalars from the base ring).

5. Basis (universal algebra) - Wikipedia

   en.wikipedia.org/wiki/Basis_(universal_algebra)

   In universal algebra, a basis is a structure inside of some (universal) algebras, which are called free algebras.It generates all algebra elements from its own elements by the algebra operations in an independent manner.

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. Cheat sheet - Wikipedia

   en.wikipedia.org/wiki/Cheat_sheet

   A cheat sheet that is used contrary to the rules of an exam may need to be small enough to conceal in the palm of the hand Cheat sheet in front of a juice box. A cheat sheet (also cheatsheet) or crib sheet is a concise set of notes used for quick reference. Cheat sheets were historically used by students without an instructor or teacher's ...