Inclined body
Inclined body 
affects the special fields 
is special case of 

enclosure as special cases 
an inclined body or a division ring (not identical to the term division algebra) is a quantity of S with two linkages“+” and”·“, which possesses all characteristics of a body, except that the multiplication it is not necessarily commutative.
An inclined body is thus a ring with one element <math> 1 \ neq0< /math>, in each element <math> the A \ neq0< /math> an inverse <math> a^ { 1}< /math> possesses, so that <math> A cdot \ cdot a^ { 1} =a^ { 1} \ A = 1 </math>.
Examples of not commutative inclined bodies:
quaternions one show that each finite inclined body is a body (sentence of Wedderburn); notcommutative inclined bodies must be thus infinite.