Journal of Linear and Topological Algebra

1-7

Authors: Abasalt Bodaghi and Behrouz Shojaee

Let n 2 N. An additive map h : A --> B between algebras A and B is called n-Jordan homomorphism if h(an) = (h(a))n for all a 2 A. We show that every n-Jordan ho- momorphism between commutative Banach algebras is a n-ring homomorphism when n < 8. For these cases, every involutive n-Jordan homomorphism between commutative C^*-algebras is norm continuous.

15-20

Authors: Shervin Sahebi and Venus Rahmani

Let R be a prime ring with extended centroid C, H a generalized derivation of R and n ⩾ 1 a fixed integer. In this paper we study the situations: (1) If (H(xy))n = (H(x))n(H(y))n for all x; y 2 R; (2) obtain some related result in case R is a noncommutative Banach algebra and H is continuous or spectrally bounded.

27-32

Authors: P. Nosratpour and M. R. Darafshehb

Let L := U3(11). In this article, we classify groups with the same order and degree pattern as an almost simple group related to L. In fact, we prove that L, L:2 and L:3 are OD-characterizable, and L:S3 is 5-fold OD-characterizable.

41-44

Authors: M. Maghasedi

For a nite group G the commutativity degree denote by d(G) and dend: d(G) = jf(x; y)jx; y 2 G; xy = yxgj jGj2 : In [2] authors found commutativity degree for some groups,in this paper we nd commuta- tivity degree for a class of groups that have high nilpontencies.