Zero Divisor
A Nonzero element 
of a Ring for which 
, where 
is some other Nonzero element and thevector multiplication 
is assumed to be Bilinear. A Ring with no zero divisors is known as anIntegral Domain. Let 
denote an 
-algebra, so that is a Vector Space over 
and
Now define
where
. is said to be 
-Associative if there exists an -dimensional Subspace 
of suchthat 
for all 
and 
. is said to be Tame if
is a finite union of Subspaces of .References
Finch, S. ``Zero Structures in Real Algebras.'' http://www.mathsoft.com/asolve/zerodiv/zerodiv.html.
- Strongly Connected Component
- Strongly Embedded Theorem
- Strongly Independent
- Strongly Triple-Free Set
- Strong Pseudoprime
- Strong Pseudoprime Test
- Strong Subadditivity Inequality
- Strong Triangle Inequality
- Strophoid
- Structurally Stable
- Structure
- Structure Constant
- Structure Factor
- Struve Differential Equation
- Struve Function
- Student's t-Distribution
- Student's z-Distribution
- Study's Theorem
- Sturm Chain
- Sturm Function
- Sturmian Separation Theorem
- Sturmian Sequence
- Sturm-Liouville Equation
- Sturm-Liouville Theory
- Sturm Theorem