George M. Bergman -- unpublished notes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 is a gradual process; here are those I've done so far: recent items that didn't seem appropriate to publish, and older items that I have put here either because they seemed of general interest, or in response to someone's request for a result. These 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Instead of this list of titles, you can look directly at the page of abstracts of unpublished notes.

The items labeled "digitized" (those from ≤ 1985) are digitizations of typewritten manuscripts.

Some embedding results for associative algebras, 10 pp., last revised 2 Nov., 2020. TeX. PDF. arXiv:2011.01448. abstract.
Some questions for possible submission to the next Kourovka notebook, 6 pp., latest update 21 Nov., 2019. PDF. arXiv:1904.04298. abstract.
Some results on counting linearizations of posets, 20 pp., last updated 8 June, 2018. arXiv:1802.01712. abstract.
Tensor products of faithful modules, 4 pp., last revised 18 Oct., 2016. abstract. TeX. Postscript. DVI. PDF. arXiv:1610.05178.
Commuting matrices, and modules over Artinian local rings, 12pp., last revised 1 Oct., 2013. abstract. tex. dvi. ps. pdf. arXiv:1309.0053.
Addenda to "On common divisors of multinomial coefficients". 9 pp., March 2010. abstract, PDF.
The condition (∃ x₁, ... , x_n ) A = x₁ A + ... + x_n 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 C^pt has products that are not products in C. 2 pp., 1987. abstract, PDF, ps.
Von Neumann regular rings with tailor-made ideal lattices. 8 pp., 1986. abstract, PDF, ps.
Notes on Ferguson and Forcade's generalized Euclidean algorithm. 61 pp., 1980. abstract, PDF (digitized).
Homogeneous elements and prime ideals in Z-graded rings. 4 pp., 1979. abstract, PDF (digitized).
Wild automorphisms of free p.i. algebras, and some new identities. 42 pp., 1979. abstract, PDF (digitized).
A free epic subalgebra of a free associative algebra. 4 pp., 1979. abstract. PDF (digitized).
The class of free subalgebras of a free associative algebra is not closed under taking unions of chains, or pairwise intersections. 14 pp., 1979. abstract. PDF (digitized).
A derivation on a free algebra, whose kernel is a nonfree subalgebra. 6 pp., example found 1971, written up 1979. abstract. PDF (digitized).
The Lie algebra of vector fields on Rⁿ satisfies polynomial identities. 34 pp., 1978? 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).
Epimorphisms of Lie algebras. 29 pp. + 1 page of addenda, ≤1973 abstract, PDF (digitized)
Functors from finite sets to finite sets. 12 pp., Winter 1971-1972. 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)..