Abstract Algebra/Manual of Style
This section defines the style rules that should be applied throughout the Abstract Algebra wikibook.
Purpose[edit | edit source]
This is intended as a University-level textbook for students of mathematics. Readers are therefore expected to be familiar with math fundamentals, and with the material in the Algebra and Linear Algebra wikibooks.
Language[edit | edit source]
The style of the language should be that of an ordinary math textbook: clear and precise but without talking down to the reader. Personal comments should be avoided.
The book should use standard American English spelling throughout.
Structure[edit | edit source]
Each page should read like a section of a paper textbook, with external links to further reading where appropriate.(?)
Chapter and section titles[edit | edit source]
For top-level chapter titles, all words should be capitalised apart from articles and prepositions (e.g. "Equivalence Relations and Congruence Classes"). Sub-headings within a page should only have the first letter of the heading capitalised.
Page length restrictions[edit | edit source]
There are no additional page length restrictions imposed by this style guide, but do follow the global Wikibooks convention of limiting page lengths at 35k (?)
Templates[edit | edit source]
With the exception of unimportant comments, each paragraph of text should be preceded with a "type declaration". Common types are Definition, Theorem, Lemma, Example, Note and Remark. A proof should be preceded with the word "Proof" in italics and a semicolon, and ended with a black square: ∎ . Code:
The same counter should be used for all types of paragraphs. Example:
Definition 1: ...
Theorem 2: ...
Proof: ... ∎
Remark 3: ...
Links[edit | edit source]
Don't link outside the book (except in the introduction to the book as a whole, which can link to other books that are prerequisites).
[edit | edit source]
There are no navigation templates.
Images[edit | edit source]
All images should be in Wikimedia commons. Since the vast majority of images will be diagrams to illustrate a point in the surrounding text, thumbnails will probably not be appropriate.
Categories[edit | edit source]
All book chapters belong under the single category Book:Abstract Algebra
Notation[edit | edit source]
Left = first usage, right = last usage
- Elements of groups:
- Elements of subgroups:
- Normal subgroups:
- Normal series: ,
- Generic integers:
- Summation indices:
- Sequence indices: