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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Absolute subretracts and weak injectives in congruence modular varieties
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by Brian A. Davey and L. G. Kovács
Trans. Amer. Math. Soc. 297 (1986), 181-196
DOI: https://doi.org/10.1090/S0002-9947-1986-0849474-X

Abstract:

Absolute subretracts and weak injectives in congruence modular varieties of universal algebras are investigated by focusing attention on the directly indecomposibles. The proofs rely on a congruence modular version of generalized direct products (direct products with amalgamation) and on the generalized Jónsson Lemma for congruence modular varieties. The results have immediate application to varieties of groups or rings.
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 297 (1986), 181-196
  • MSC: Primary 08B30; Secondary 08B10, 16A52, 20E10
  • DOI: https://doi.org/10.1090/S0002-9947-1986-0849474-X
  • MathSciNet review: 849474