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Ideals in pseudo-rings

Published online by Cambridge University Press:  20 January 2009

K. Jump
K. Jump
Affiliation:
Department of Pure Mathematics, University of Sheffield
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The concept of a pseudo-ring was introduced by Patterson (1). Briefly, a pseudo-ring is an algebraic system consisting of an additive abelian group A, a distinguished subgroup A*, and a multiplication operation A* × A→A under which A* is a ring and A a left A*-module. For convenience, we denote the pseudo-ring by = (A*, A). For the definitions of the various types of ideal, we refer the reader to (1).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 17 , Issue 3 , June 1971 , pp. 215 - 222
Copyright
Copyright © Edinburgh Mathematical Society 1971

References

REFERENCES

(1)Patterson, E. M., The Jacobson Radical of a Pseudo-ring, Mathematische Zeitschrift 89 (1965), 348–364.CrossRefGoogle Scholar
(2)Patterson, E. M., The Wedderburn Artin Theorem for Pseudo-rings, Mathe-matische Zeitschrift 98 (1967), 31–41.CrossRefGoogle Scholar
(3)Patterson, E. M., Modules for Pseudo-rings, Acta Math. Acad. Sci. Hungar. 19 (1968), 451–464.CrossRefGoogle Scholar