Algebraic and Diagonable Rings
- 1 January 1956
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 8, 341-354
- https://doi.org/10.4153/cjm-1956-039-8
Abstract
1. Introduction. In a well-known paper (7) Jacobson has shown how his structure theory for arbitrary rings can be applied to give more precise information about the so-called “algebraic” algebras. This specialization of his general theory is, however, perhaps not completely satisfying in that it deals only with algebras, i.e. rings admitting a field of operators, whereas neither the general structure theory nor the definition of the property of being “algebraic” seems to depend in any essential way on the precise nature of the operators.Keywords
This publication has 8 references indexed in Scilit:
- A note on rings with central nilpotent elementsProceedings of the American Mathematical Society, 1954
- Commutators in associative ringsMathematical Proceedings of the Cambridge Philosophical Society, 1953
- The Structure of a Certain Class of RingsAmerican Journal of Mathematics, 1953
- Zero divisors and commutativity of ringsProceedings of the American Mathematical Society, 1953
- On Some Matrix Theorems of Frobenius and McCoyCanadian Journal of Mathematics, 1953
- Topological representation of algebrasTransactions of the American Mathematical Society, 1948
- Structure Theory for Algebraic Algebras of Bounded DegreeAnnals of Mathematics, 1945
- Generalized regular ringsBulletin of the American Mathematical Society, 1939