George M. Bergman -- unpublished notes
These are items that, over the years, I have written
up, but for one reason or another, not published.
Putting them online will be a slow process.
Here's a start.
They are mostly items that I don't expect to prepare
for publication; but there may be exceptions.
Instead of this list of titles, you can look
directly at the page of abstracts.
The items labeled "digitized" (those from ≤ 1985)
are digitizations of typewritten manuscripts.
-
Addenda to "On common divisors of multinomial coefficients".
9 pp., March 2010.
abstract,
PDF.
-
The condition (∃ x1,
... , xn )
A = x1 A + ... + xn A
in nonassociative algebras, and base-change.
6 pp., 2009.
abstract,
PDF.
-
Why do we have three sorts of adjunctions?
3 pp., 2008.
abstract,
PDF,
ps.
-
Some empty inverse limits.
8 pp., 2005, revised July 2011.
abstract,
PDF,
ps.
-
Criteria for existence of semigroup homomorphisms
and projective rank functions.
7 pp., 1990.
abstract,
PDF.
-
When Cpt has products that
are not products in C.
2 pp., 1987.
abstract,
PDF,
ps.
-
Notes on Ferguson and Forcade's generalized Euclidean algorithm.
61 pp., 1980.
abstract,
PDF (digitized).
-
Wild automorphisms of free p.i. algebras, and some new
identities.
42 pp., 1979.
abstract,
PDF (digitized).
-
A note on growth functions of algebras and semigroups.
8 pp., 1978.
abstract,
PDF (digitized).
-
A note on Engel's Theorem.
3 pp., 1978.
abstract,
PDF (digitized).
-
On generic relative global dimension 0.
22 pp.+2-page addendum; written some time between 1976 and 1978.
abstract,
PDF (digitized).
-
On Jacobson radicals of graded rings.
10 pp., 1975.
abstract,
PDF (digitized).
-
A note on abelian categories — translating
element-chasing proofs, and exact embedding in abelian groups.
7 pp., 1974.
abstract,
PDF (digitized).
-
The constructive theory of transcendental numbers, or
the Liouville-Thue-Siegel-Mahler-Roth-Schneider Theorem.
(expository) 33 pp., 1967.
abstract,
PDF (digitized).