Ideals in a ring as geometric objects?

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I am interested in learing about the possibility of (one-sided) ideals in a ring being repreented geometrically. In other words, about their status as geometric objects (after all, they can be dealt with in algebraic geometric, can't they?). Apparently, the so-called Nullstellensatz provides for that. Could anyone explain me the whole thing about ideals as geometric objects and the relation to Hilbert's theorem on zeros?