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rowan@garnet.berkeley.edu

19 Sep 1993 19 Sep '93
8:59 p.m.

The response to my proposed modules mailing list has been very gratifying (almost 20 people). I have decided to go ahead with it, at least for a trial period. The focus of the mailing list will be modules (Beck's definition of an A-module, for an object A in a category C, is an abelian group object in the category of objects of C over A) and the corresponding pointed set objects. I have my own equivalent definition, and call the pointed set objects pointed overlaying algebras. I am personally most interested in modules and pointed overlaying algebras over universal algebras A, and interactions with the structure of A. (For example, congruences of A naturally give rise to pointed overlaying algebras, and frequently to modules.) However, the subject where this theory first got started was cohomology theories. To start with, there are two activities I want to pursue: (1) Discussion. Please contribute opinions, queries, announcements, whatever, concerning modules and pointed overlaying algebras. (2) Creating a bibliography of articles on this subject, with brief abstracts. Please let me know of your work in this area, and how preprints may be obtained. Hopefully, I will be making this bibliography available on the network. To become a charter subscriber, send e-mail to rowan@garnet.berkeley.edu. I am not yet ready to receive contributions, and will make another announcement when I am ready. Thank you, Bill Rowan ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

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