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arxiv: 1408.4275 · v1 · pith:O3H3HXFVnew · submitted 2014-08-19 · 🧮 math.AC · math.CO

The coordinate ring of a simple polyomino

classification 🧮 math.AC math.CO
keywords polyominosimplecoordinateringbalancedcohen-macaulayconsequencedomain
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In this paper it is shown that a polyomino is balanced if and only if it is simple. As a consequence one obtains that the coordinate ring of a simple polyomino is a normal Cohen-Macaulay domain.

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