Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, addition and (non-commutative) multiplication, on open sets of ℍ, then Hamilton 4-manifolds analogous to Riemann surfaces, for ℍ instead of ℂ, are defined, and so begin to describe a class of four-dimensional manifolds.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc107-0-8,
title = {On a noncommutative algebraic geometry},
journal = {Banach Center Publications},
volume = {104},
year = {2015},
pages = {119-131},
zbl = {06556706},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc107-0-8}
}
(éd.). On a noncommutative algebraic geometry. Banach Center Publications, Tome 104 (2015) pp. 119-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc107-0-8/