It then follows that if A is a graded ring over a local ring, A is a homomorphic image of a polynomial ring over a regular local ring. For the sake of brevity, we refer to a graded polynomial ring over a regular local ring simply as a graded polynomial ring.

[…] and then with a terrific crash the ship brought up all standing, and we were hurled against the bridge screens by the force of the collision.

So ſung they, and the Empyrean rung, / With Halleluiahs: Thus was Sabbath kept.

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