We provide a proof of Jacobson's theorem on derivations of primitive rings with nonzero
socle. Both Jacobson's theorem and its formulation (in terms of the so-called differential …

Let A be a complete normed complex algebra, let π: A→ A be a nonzero contractive linear
projection, and consider π (A) as a complete normed complex algebra under the product (x …

Let A be a semiprime associative algebra with an involution over a field of characteristic not
2, let K be the Lie algebra of all skew elements of A, and let Z [K, K] denote the annihilator of …

We obtain nonassociative extensions of some basic results in the associative PI and GPI
theories, such as Regev's tensor product PI-theorem, Kaplansky's primitive PI-theorem …

Applications of multiplication algebras to the algebraic and analytic strengthenings of
primeness and semiprimeness of (possibly non-associative) algebras are fully surveyed …

Multiplicative primeness of strongly prime non-commutative Jordan algebras - ScienceDirect
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We deal with the algebras consisting of the quotients that produce bounded evaluation on
suitable ideals of the multiplication algebra of a normed semiprime algebra A. These …

Seemingly, it is not easy to finding a norm on the center closure of a normed algebra.
Cabrera and Mohammed in [1, 2], they defined a norm on the center closure of two classes …

We will introduce the concept of generalized multiplicative polynomial identity (in short
GMPI) for multiplicatively prime algebras. Our main result is a GMPI-theorem, which provides …

تبعاً لماثيووكابريرا–رودريكث وكابريرا–محمد عرّفنا الجبور الأولية المضروبة كليا الخاصة.
باستخدام تلك الجبور تم تحسين النتيجة العائدة لـ كابريرا–محمد التي تنص على انه إذا كان جبرا …‎