The theory of associative and nonassociative algebras has seen new impetuous developments in recent years. From physics, geometry and algebraic topology new nonassociative structures have appeared, such as superalgebras, coalgebras, pairs and triple systems. These structures proved to be interesting from a purely algebraic point of view; they produced innovative ideas and methods that have helped to solve some old algebraic problems. On the other hand, the theories of the main classes of nonassociative algebras, namely, alternative, Jordan and Malcev algebras, are far from completion,...
The theory of associative and nonassociative algebras has seen new impetuous developments in recent years. From physics, geometry and algebraic topolo...
La théorie des algèbres associatives et non associatives a connu de nouveaux développements impétueux ces dernières années. De la physique, de la géométrie et de la topologie algébrique sont apparues de nouvelles structures non associatives, telles que les superalgèbres, les coalgebras, les systèmes de paires et de triples. Ces structures se sont révélées intéressantes d'un point de vue purement algébrique ; elles ont produit des idées et des méthodes innovantes qui ont permis de résoudre certains vieux problèmes algébriques. En revanche, les théories des principales...
La théorie des algèbres associatives et non associatives a connu de nouveaux développements impétueux ces dernières années. De la physique, de l...
Die Theorie der assoziativen und nicht-assoziativen Algebren hat in den letzten Jahren neue impulsive Entwicklungen erfahren. Aus der Physik, der Geometrie und der algebraischen Topologie sind neue nicht-assoziative Strukturen wie Superalgebren, Kohlegebren, Paare und Tripelsysteme hervorgegangen. Diese Strukturen erwiesen sich aus rein algebraischer Sicht als interessant; sie brachten innovative Ideen und Methoden hervor, die zur Lösung einiger alter algebraischer Probleme beigetragen haben. Andererseits sind die Theorien der wichtigsten Klassen nicht-assoziativer Algebren, nämlich der...
Die Theorie der assoziativen und nicht-assoziativen Algebren hat in den letzten Jahren neue impulsive Entwicklungen erfahren. Aus der Physik, der Geom...
The study of nonassociative rings has yielded many interesting results in algebra. Many sufficient conditions are well known under which a given nonassociative ring becomes associative. The results relating to nucleus in nonassociative rings have been used in the development of theories for several varieties of rings,for example Jordan, alternative, right alternative, left alternative, (-1, 1), assosymmetric, derivation rings etc.
The study of nonassociative rings has yielded many interesting results in algebra. Many sufficient conditions are well known under which a given nonas...
