Regular pure projective modules

Fieldhouse, David J.

doi:10.1090/S0002-9939-1972-0304427-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Regular pure projective modules
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by David J. Fieldhouse PDF

Proc. Amer. Math. Soc. 36 (1972), 69-72 Request permission

Abstract:

A structure theorem for regular pure projective modules over any associative ring with identity is given. This extends an earlier result for regular projective modules, which in turn extended a theorem of Kaplansky on the structure of projective modules over regular rings.

References

P. M. Cohn, On the free product of associative rings, Math. Z. 71 (1959), 380–398. MR 106918, DOI 10.1007/BF01181410
D. J. Fieldhouse, Pure theories, Math. Ann. 184 (1969), 1–18. MR 252479, DOI 10.1007/BF01350610
Irving Kaplansky, Projective modules, Ann. of Math (2) 68 (1958), 372–377. MR 0100017, DOI 10.2307/1970252