MacDonald, John L. Conditions for a universal mapping of algebras to be a monomorphism. (English) Zbl 0331.08004 Bull. Am. Math. Soc. 80, 888-892 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 08Axx Algebraic structures 18B15 Embedding theorems, universal categories 18C10 Theories (e.g., algebraic theories), structure, and semantics 18C05 Equational categories 20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations 17B35 Universal enveloping (super)algebras 18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) PDFBibTeX XMLCite \textit{J. L. MacDonald}, Bull. Am. Math. Soc. 80, 888--892 (1974; Zbl 0331.08004) Full Text: DOI References: [1] Reinhold Baer, Free sums of groups and their generalizations. An analysis of the associative law, Amer. J. Math. 71 (1949), 706 – 742. · Zbl 0033.34504 · doi:10.2307/2372361 [2] George M. Bergman, The diamond lemma for ring theory, Adv. in Math. 29 (1978), no. 2, 178 – 218. · Zbl 0326.16019 · doi:10.1016/0001-8708(78)90010-5 [3] Garrett Birkhoff, Representability of Lie algebras and Lie groups by matrices, Ann. of Math. (2) 38 (1937), no. 2, 526 – 532. · JFM 63.0090.01 · doi:10.2307/1968569 [4] Saunders MacLane, Categories for the working mathematician, Springer-Verlag, New York-Berlin, 1971. Graduate Texts in Mathematics, Vol. 5. · Zbl 0232.18001 [5] Hanna Neumann, Generalized free products with amalgamated subgroups, Amer. J. Math. 70 (1948), 590 – 625. · Zbl 0032.10402 · doi:10.2307/2372201 [6] M. H. A. Newman, On theories with a combinatorial definition of ”equivalence.”, Ann. of Math. (2) 43 (1942), 223 – 243. · Zbl 0060.12501 · doi:10.2307/1968867 [7] Jean-Pierre Serre, Lie algebras and Lie groups, Lectures given at Harvard University, vol. 1964, W. A. Benjamin, Inc., New York-Amsterdam, 1965. · Zbl 0132.27803 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.