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Transactions of the American Mathematical Society

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Composita, equations, and freely generated algebras


Author: A. Nerode
Journal: Trans. Amer. Math. Soc. 91 (1959), 139-151
MSC: Primary 08.00
DOI: https://doi.org/10.1090/S0002-9947-1959-0104609-5
MathSciNet review: 0104609
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  • [1] S. A. Amitsur, The $ T$-ideals of the free ring, J. London Math. Soc. vol. 30 (1955) pp. 470-475. MR 0071408 (17:122c)
  • [2] G. Birkhoff, On the structure of abstract algebras, Proc. Cambridge Philos. Soc. vol. 31 (1935) pp. 433-454.
  • [3] -, Universal algebra, Proceedings of the Canadian Mathematical Congress, vol. 1, 1945, pp. 310-326. MR 0019586 (8:432e)
  • [4] -, Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, rev. ed., New York, 1948.
  • [5] A. L. Foster, The identities of--and unique subdirect factorization within--classes of universal algebras, Math. Z. vol. 62 (1955) pp. 171-188. MR 0073569 (17:452a)
  • [6] J. Kalicki and D. Scott, Equational completeness of abstract algebras, Nederl. Akad. Wetensch. Proc. Ser. A. vol. 58 (1955) pp. 650-659. MR 0074350 (17:571a)
  • [7] H. F. J. Lowig, Gesetzrelationen uber frei erzeugten Algebren, J. Reine Angew. Math. vol. 193 (1954) pp. 129-142. MR 0067853 (16:786e)
  • [8] A. Tarski, A remark on functionally free algebras, Ann. of Math. vol. 47 (1946) pp. 163-165. MR 0015038 (7:360a)
  • [9] -, Contributions to the theory of models III, Nederl. Akad. Wetensch. Proc. Ser. A. vol. 58 (1955) pp. 56-63. MR 0066303 (16:554h)

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DOI: https://doi.org/10.1090/S0002-9947-1959-0104609-5
Article copyright: © Copyright 1959 American Mathematical Society

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