zbMATH — the first resource for mathematics

Finitely generated left commutative semigroups are residually finite. (English) Zbl 0525.20046

20M10 General structure theory for semigroups
20M05 Free semigroups, generators and relations, word problems
20M14 Commutative semigroups
Full Text: DOI EuDML
[1] Carlisle, W.H.,Residual Finiteness of Finitely Generated Commutative Semigroups, Pacific J. Math., 36 (1971), 99–101. · Zbl 0188.05703
[2] Clifford, A.H., and G.B. Preston,Algebraic Theory of Semigroups, Amer. Math. Soc. Surveys no. 7, Providence, R.I., 1961. · Zbl 0111.03403
[3] Evans, T.,Some Connections Between Residual Finiteness, Finite Embeddability and the Word Problem, J. London Math. Soc., 21 (1969), 399–403. · Zbl 0184.03502
[4] Evans, T.,Approximating Algebras by Finite Algebras, Part II, prepublication manuscript.
[5] Lallement, G.,On a Theorem of Malcev, Proc. Amer. Math. Soc., 30 (1971), 49–54. · Zbl 0234.20032
[6] Malcev, A.I.,On Homorphisms Onto Finite Groups, Uch. Zap. Ivanovsk Pedagogm Inst., 18 (1958), 49–60.
[7] Nordahl, T.E.,Medial Semigroups, Thesis, University of California, 1974.
[8] Schein, B.M.,Homorphisms and Subdirect Product Decomposition of Semigroups, Pacific J. Math. 17 (1966), 529–547. · Zbl 0197.01603
[9] Eilenberg, S. and M.P. Schützenberger,Rational Sets in Commutative Monoids, J. Algebra, 13 (1969), 173–191. · Zbl 0206.02703
[10] Freyd, P.,Finiteness Theorem for Commutative Semigroups, Proc. Amer. Math. Soc. 19 (1968) p. 1003. · Zbl 0191.01703
[11] Rédei, L.,The Theory of Finitely Generated Commutative Semigroups, Oxford Univ. Press, New York, 1965.
[12] Schein, B.M.,On the theory of restrictive semigroups (in Russian), Izvestija Vysŝih Uĉebnyh Zavedeniî, Mathematika 1963, no. 2, 152–154.
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.