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Pseudo-rings of infinite matrices

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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Patterson (4) introduced the concept of a pseudo-ring and considered the pseudo-ring of infinite matrices over a ring. In this paper we shall generalize and improve the work of Patterson, using certain additions to the general theory of pseudo-rings which have recently been introduced (1). We shall follow the conventions and notations used in (1) and (4).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 17 , Issue 4 , December 1971 , pp. 325 - 336
Copyright
Copyright © Edinburgh Mathematical Society 1971

References

REFERENCES

(1) Jump, K., Ideals in pseudo-rings, Proc. Edinburgh Math. Soc. (2) 17 (1971), 215–222.CrossRefGoogle Scholar
(2) Patterson, E. M., On the radicals of certain rings of infinite matrices, Proc. Roy. Soc. Edinburgh, Sect. A 65 (1957–1961), 263–271.Google Scholar
(3) Patterson, E. M., On the radicals of rings of row-finite matrices, Proc. Roy. Soc. Edinburgh, Sect. A 66 (1961–1964), 42–46.Google Scholar
(4) Patterson, E. M., The Jacobson radical of a pseudo-ring, Math. Z. 89 (1965) 348–364.CrossRefGoogle Scholar