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From: Aleks Kleyn on 18 Jun 2010 00:38 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 |