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Shikama, Akihiro

Toric representations of algebras defined by certain nonsimple polyominoes. (English) Zbl 1393.05312

J. Commut. Algebra 10, No. 2, 265-274 (2018).
Summary: In this paper, we give a toric representation of the associated ring of a polyomino which is obtained by removing a convex polyomino from its ambient rectangle.

Cited in 3 Documents

MSC:

05E40 Combinatorial aspects of commutative algebra
05B50 Polyominoes
13C05 Structure, classification theorems for modules and ideals in commutative rings

Keywords:

polyominoes; toric ideals; toric rings
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\textit{A. Shikama}, J. Commut. Algebra 10, No. 2, 265--274 (2018; Zbl 1393.05312)
Full Text: DOI arXiv Euclid
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