From: Aleks Kleyn on
this spring i published in arXiv paper
eprint arXiv:1003.1544 Linear Mappings of Free Algebra, 2010
where i considered system of additive equations in Omega algebra which
operation of sum. Little later I read Baez letter in Proceedings of AMS. in
this letter he wrote about blog site of n cafe. when i visited this site
http://golem.ph.utexas.edu/category/
http://ncatlab.org/nlab/show/HomePage
I was very impressed by diversity of modern math. in particular, Omega group
attracted my attention. By definition this is Omega algebra which has
operation of sum (not nessecary commutative) such that any operation omega
is distributive relative sum. Because this definition is close to what I was
explored I want to rewrite my paper using more proper definitions. probably
I will keep omega operation not nessasry distributive (I may call such
algebra nondistributive omega group). I will appreciate if somebody can help
me papers dedicated to this subject. I also put attention that even sum is
not commutative I can still use quasideterminant.

Thank you, Aleks Kleyn