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We explain how Polchinski's work on D-branes re-read from a noncommutativeversion of Grothendieck's equivalence of local geometries and function ringsgives rise to an intrinsic prototype definition of D-branes (of B-type) as anAzumaya-type noncommutative space. Several originally open-string inducedproperties of D-branes can be reproduced solely by this intrinsic definition.We study also the moduli space of D0-branes on a commutative target space inthis setup. Some of its features resembles gas of D0-branes in Vafa's work.

Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint