Higher order derivations of modules
Ribenboim, P. (1980)
Portugaliae mathematica
D.B. Shapiro, E. Fluckiger-Bayer (1993)
Mathematische Zeitschrift
Rashkova, Tsetska (2004)
Serdica Mathematical Journal
2000 Mathematics Subject Classification: 16R50, 16R10.The paper is a survey on involutions (anti-automorphisms of order two) of different kinds. Starting with the first systematic investigations on involutions of central simple algebras due to Albert the author emphasizes on their basic properties, the conditions on their existence and their correspondence with structural characteristics of the algebras. Focusing on matrix algebras a complete description of involutions of the first kind on Mn(F)...
W. MAHRHOLD, K. ROSENBAUM (1981)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Kurt Rosenbaum, Frank Neumann (1987)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Garibaldi, R.Skip, Quéguiner-Mathieu, Anne, Tignol, Jean-Pierre (2001)
Documenta Mathematica
Winfried Scharlau (1974)
Journal für die reine und angewandte Mathematik
Wolfgang Bertram (2013)
Archivum Mathematicum
In these lecture notes we report on research aiming at understanding the relation beween algebras and geometries, by focusing on the classes of Jordan algebraic and of associative structures and comparing them with Lie structures. The geometric object sought for, called a generalized projective, resp. an associative geometry, can be seen as a combination of the structure of a symmetric space, resp. of a Lie group, with the one of a projective geometry. The text is designed for readers having basic...
Driss, Aiat Hadj Ahmed, Ben Yakoub, L'Moufadal (2005)
International Journal of Mathematics and Mathematical Sciences
B. Zalar (1997)
Aequationes mathematicae
L. Molnár (1997)
Aequationes mathematicae
Dilian Yang (2005)
Colloquium Mathematicae
Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided.
Xu, Xiao Wei, Zhang, Hong Ying (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Fošner, Maja (2004)
International Journal of Mathematics and Mathematical Sciences
Walter Streb (1975)
Rendiconti del Seminario Matematico della Università di Padova
A. Tillier (1977)
Publications du Département de mathématiques (Lyon)
Motoshi Hongan, Nadeem Ur Rehman, Radwan Mohammed AL-Omary (2011)
Rendiconti del Seminario Matematico della Università di Padova
Nishteman N. Suliman, Abdul-Rahman H. Majeed (2013)
Discussiones Mathematicae - General Algebra and Applications
Let M be a 2 and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following (i) d(U)⊂ Z, (ii) d(U)⊂ U and d²(U)=0, (iii) d(U)⊂ U, d²(U)⊂ Z.
Meena Sahai (1995)
Publicacions Matemàtiques
Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.
Luzius Grünenfelder (1980)
Commentarii mathematici Helvetici