I'm reading Takayuki Tamura's article "On the recent results in the study of power semigroups", pp. 191-200 in Goberstein & Higgins' Semigroups and Their Applications, Kluwer, 1987 (the volume is the proceedings of the international conference "Algebraic Theory of Semigroups and Its Applications" held at the California State University in April 1986).

The article's bibliography includes the following items (which I'm reproducing in the very same way as they appear in the volume edited by Goberstein & Higgins):

  1. Tamura, T., 'The study of the power semigroup of the group of integers.' (Preprint)
  2. Tamura, T., 'The study of the power semigroup of the group of finite O-simple semigroup I,' (preprint).
  3. Tamura, T., 'The study of the power semigroup of finite O-simple semigroup II,' (preprint).
  4. Tamura. T., 'The class of finite semigroups is globally determined.' (In preparation)

Question. Do you know if any of these papers has ever been published? I'm having a really hard time finding them (I'm especially interested in [20]), and the work of Tamura on power semigroups is not reviewed on zbMATH.


1 Answer 1


The list of publications of Takayuki Tamura is here, compiled on the occasion of his 90th birthday, so we can safely assume it is complete. None of these preprints is listed as a publication.

  • $\begingroup$ Many thanks! Let me just spell out (in case the link is no longer working in k years from now) that "here" refers to H.B. Hamilton & T.E. Nordahl, Tribute for Takayuki Tamura on his 90th birthday, Semigroup Forum 79 (2009), 2-14. $\endgroup$ May 29 at 12:23
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    $\begingroup$ Judging from questions similar to this one, that appear regularly on MO, I get the impression this is something particular for the field of mathematics: the existence of a body of literature that has been cited but does not actually exist. I would not know of a single example from the physics literature. $\endgroup$ May 30 at 6:17
  • $\begingroup$ There was an example I heard recently where people were citing results proved in a preprint by someone who was refusing to publish the preprint on the arXiv so they were citing literature that doesn't exist anywhere and ended up to having to re-prove the results they cited. $\endgroup$ May 30 at 12:36

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