A Lie-like Algebra^1-st

As a natural generalization of a Lie algebra．a Lie—like algebral was definedby Pro~Ke—qin I,iu ofUniversi of ofBritish Columbia in 2008 1,now the resu]ts0n a Lie—like algebral are lew In tiffs thesis．we mainly give some elementaWproperties 0n subalgebraS。ideals,quotient algebras,solvabiliy and nilpotency。obtNnsome important properties 0n homomorphisms。isomorphisms。the decomposition ofdirect sunl and derivation Moreoveg We describe the relafionsNp between it andassociative algebra and give the homomorphisms basic theorems and decompositionuniqueness theorem 0n a Lie—like algebral...