Title: Normality and Related Properties of Forcing Algebras,
Abstract: We present a sufficient condition for irreducibility of forcing algebras and
study the (non)-reducedness phenomenon. Furthermore, we prove a criterion for
normality for forcing algebras over a polynomial base ring with coefficients in
a perfect field. This gives a geometrical normality criterion for algebraic
(forcing) varieties over algebraically closed fields. Besides, we examine in
detail an specific (enlightening) example with several forcing equations.
Finally, we compute explicitly the normalization of a particular forcing
algebra by means of finding explicitly the generators of the ideal defining it
as an affine ring.