Tame Algebra
Let 
denote an 
-algebra, so that is a Vector Space over 
and
where
is vector multiplication which is assumed to be Bilinear. Now define
where
. is said to be tame if 
is a finite union of Subspaces of . A 2-D 0-Associativealgebra is tame, but a 4-D 4-Associative algebra and a 3-D 1-Associative algebra need not be tame. It isconjectured that a 3-D 2-Associative algebra is tame, and proven that a 3-D 3-Associative algebra is tameif it possesses a multiplicative Identity Element.
References
Finch, S. ``Zero Structures in Real Algebras.'' http://www.mathsoft.com/asolve/zerodiv/zerodiv.html.
- Set Difference
- Set Partition
- Set Theory
- Sexagesimal
- Sexdecillion
- Sextic Equation
- Sextic Surface
- Sextillion
- Sexy Primes
- Seydewitz's Theorem
- Sgn
- Shadow
- Shadowing Theorem
- Shafarevich Conjecture
- Shah Function
- Shah-Wilson Constant
- Shallit Constant
- Shallow Diagonal
- Shanks' Algorithm
- Shanks' Conjecture
- Shannon Entropy
- Shannon Sampling Theorem
- Shape Operator
- Shapiro's Cyclic Sum Constant
- Sharing Problem