Skip to Main Content

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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Finite semilattices whose monoids of endomorphisms are regular
HTML articles powered by AMS MathViewer

by M. E. Adams and Matthew Gould PDF
Trans. Amer. Math. Soc. 332 (1992), 647-665 Request permission

Abstract:

A classification is obtained for the finite semilattices $S$ such that the monoid of endomorphisms of $S$ is regular in the semigroup-theoretic sense.
References
  • M. E. Adams and Matthew Gould, Corrigendum: “Posets whose monoids of order-preserving maps are regular” [Order 6 (1989), no. 2, 195–201; MR1031655 (90m:06002)], Order 7 (1990), no. 1, 105. MR 1086133, DOI 10.1007/BF00383180
  • A. Ja. Aĭzenštat, Regular semigroups of endomorphisms of ordered sets, Leningrad. Gos. Ped. Inst. Učen. Zap. 387 (1968), 3–11 (Russian). MR 0232711
  • Jan Chvalina, On connected unars with regular endomorphism monoids, Arch. Math. (Brno) 16 (1980), no. 1, 7–13. MR 594663
  • L. M. Gluskĭn, Semi-groups of isotone transformations, Uspehi Mat. Nauk 16 (1961), no. 5, 157–162 (Russian). MR 0131486
  • M. F. Janowitz, Regularity of residuated mappings, Semigroup Forum 42 (1991), no. 3, 313–332. MR 1092962, DOI 10.1007/BF02573428
  • Proc. Sympos. on Regular Semigroups, Northern Illinois Univ., DeKalb, 1979.
  • B. M. Schein, Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups, Fund. Math. 68 (1970), 31–50. MR 272686, DOI 10.4064/fm-68-1-31-50
  • L. A. Skornjakov, Unary algebras with regular endomorphism monoids, Acta Sci. Math. (Szeged) 40 (1978), no. 3-4, 375–381. MR 515219
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 20M20, 06A12, 20M17
  • Retrieve articles in all journals with MSC: 20M20, 06A12, 20M17
Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 332 (1992), 647-665
  • MSC: Primary 20M20; Secondary 06A12, 20M17
  • DOI: https://doi.org/10.1090/S0002-9947-1992-1052902-3
  • MathSciNet review: 1052902