مشخصات پژوهش

عنوان	Lie superderivations on unital algebras with idempotents
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Lie superderivation; superalgebra; superderivation; triangular algebra; unital algebra with non-trivial idempotents
چکیده	Let U be an associative unital algebra containing a non-trivial idempotent e. We consider U as a superalgebra whose Z2-grading is induced by e. This paper aims to describe Lie superderivations of U. In particular, we characterize the general form of Lie superderivations of U and apply it to present the necessary and sufcient conditions for a Lie superderivation on U to be proper. Similar results have been presented for triangular algebras as superalgebras, wherein their Z2-grading is also obtained concerning standard idempotent. The main result is subsequently applied to full matrix algebras and upper triangular matrix algebras.
پژوهشگران	لیلا حیدری زاده (نفر دوم)، هوگر قهرمانی (نفر اول)