Maths - Discrete Algebraic Structures

We have already looked at groups and on these pages we look at other algebraic structures.

For a more greneral discussion of algebras see the page here.



An algebra consists of:

  • A data type - an underlying type
  • An expression - a tree structure where the leaves are elements of this data type.
  • A way to evaluate expressions

If the datatype is denoted 'A' then going one layer up in this tree structure can be denoted: F(A).

So to evaluate an expression we need a function α: F(A) -> A

More about f-algebra here.

Associative Algebras

Non-Associative Algebras

metadata block
see also:
Correspondence about this page

Book Shop - Further reading.

Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.

flag flag flag flag flag flag The Princeton Companion to Mathematics - This is a big book that attempts to give a wide overview of the whole of mathematics, inevitably there are many things missing, but it gives a good insight into the history, concepts, branches, theorems and wider perspective of mathematics. It is well written and, if you are interested in maths, this is the type of book where you can open a page at random and find something interesting to read. To some extent it can be used as a reference book, although it doesn't have tables of formula for trig functions and so on, but where it is most useful is when you want to read about various topics to find out which topics are interesting and relevant to you.


Terminology and Notation

Specific to this page here:


This site may have errors. Don't use for critical systems.

Copyright (c) 1998-2018 Martin John Baker - All rights reserved - privacy policy.