Abstract
Herein I state new results of several researchers (including myself) and present some new conjectures. Almost no proofs are given, but instead, references and (hopefully) helpful remarks. The new techniques are to be learned by studying the references. This paper is just a signpost.
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References
D.Albert and J.Rhodes, “Undecidability of the identity problem for finite semigroups with applications” (preprint, 1986).
C.Ash, “Finite semigroups with commuting idempotents,” (preprint, 1986).
S.I.Adian, The Burnside Problem and Identities in Groups, (Springer-Verlag, Berlin/New York, 1979) (Ergebnisse der Math. u. ihren Grenzgebiete 95), in Minicke (Ed.) Springer Lecture Notes in Math. No 806 (1980).)
J.-C.Birget, S.Margolis, and J.Rhodes, “Finite semigroups whose idempotents commute or form a subsemigroup”, in this volume.
J.-C.Birget and J.Rhodes, “Almost finite expansions of arbitrary semigroups,” Journal of Pure & Applied Algebra 32 (1984), 239–287.
J.-C.Birget and J.Rhodes, “Group theory via global semigroup theory,” Preprint from Center for Pure & Applied Mathematics, University of California, Berkeley, CA 94720, % J. Rhodes (December 1984).
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J.Karnofsky and J.Rhodes, “Decidability of complexity one-half for finite semigroups,” Semigroup Forum 24 (1984), 55–66.
B.Tilson and J.Rhodes, “Improved lower bounds for the complexity of finite semigroups,” Journal of Pure & Applied Algebra 2 (1972), 13–71.
J.Rhodes, “Global structure theorems for arbitrary semigroups,” in Proceedings of the 1984 Marquette Conference on Semigroups (K. Byleen, P. Jones, and F. Pastijn, eds.), pp.197–228, (Marquette Mathematics Dept., 1984).
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J.Rhodes, “The presentation lemma for finite semigroups dividing A*G*V,” (preprint, 1975, from Center for Pure & Applied Mathematics, University of California, Berkeley, CA 94720, % J.Rhodes).
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J.Rhodes and B.Tilson, “The kernel of monoid morphism: a reversal invariant decomposition theory,” (preprint, 1986, from Center for Pure & Applied Mathematics, University of California, Berkeley, CA 94720, % J.Rhodes).
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B.Tilson, Chapter XII in [Ei].
B.Tilson, “Type II redux,” this volume.
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© 1987 D. Reidel Publishing Company
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Rhodes, J. (1987). New Techniques in Global Semigroup Theory. In: Goberstein, S.M., Higgins, P.M. (eds) Semigroups and Their Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3839-7_20
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DOI: https://doi.org/10.1007/978-94-009-3839-7_20
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