۲۰۸۴۳پ
per
عملگرهای مشتق سه گانه و همومورفیسمهای سه گانه از جبرهای لی کامل
Triple derivations and triple homomorphisms of perfect Lie algebras
/شکوفه خادم نعمت اللهی
: علوم ریاضی
، ۱۳۹۷
، راشدی
۴۸ص
چاپی - الکترونیکی
کارشناسی ارشد
ریاضی محض گرایش جبر
۱۳۹۷/۱۱/۱۴
تبریز
Let L, K be two Lie algebras over the field F. An F-linear mapping f : L K is called a triple derivation if x, y, z L, f([x, [y, z]]) = [f(x), [y, z]] + [x, [f(y), z]] + [x, [y, f(z)]]. It will be proved that, if char F = 2 and L is a perfect Lie algebra with zero center, then every triple derivation L is derivation and every triple derivation of Der(L) is an inner derivation. Also, f : L K is called a triple homomorphism if x, y, z L, f([x, [y, z]]) = [f(x), [f(y), f(z)]]. It is clear that homomophisms, anti-homomorphisms and sum of homomorphisms and anti-homomorphisms are triple homomorphisms. It will be proved that, under certain assumptions, these are all triple homomorphisms
Triple derivations and triple homomorphisms of perfect Lie algebras
خادم نعمت اللهی، شکوفه
Khadem Namat Ollahi, Shokofeh
سیاه و سفید
نمایهسازی قبلی
