ON ISOMORPHISM OF SIMPLICIAL COMPLEXES AND THEIR RELATED ALGEBRAS

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ZARE NAHANDI R.

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Journal: Bulletin of the Iranian Mathematical Society Year:2009 | Volume:35 | Issue:1 Page(s): 41-48

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Title

ON ISOMORPHISM OF SIMPLICIAL COMPLEXES AND THEIR RELATED ALGEBRAS

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ZARE NAHANDI R. | Issue Writer Certificate

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Abstract

Here, we provide a simple proof for the fact that two simplicial complexes are isomorphic if and only if their associated Stanley-Reisner rings, or their associated facet rings are isomorphic as K-algebras. As a consequence, we show that two graphs are isomorphic if and only if their associated edge rings are isomorphic as K-algebras. Based on an explicit K-algebra isomorphism of two Stanley-Reisner rings, or facet rings or edge rings, we present a fast algorithm to find explicitly the isomorphism of the associated simplicial complexes, or graphs.

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APA: Copy

ZARE NAHANDI, R.. (2009). ON ISOMORPHISM OF SIMPLICIAL COMPLEXES AND THEIR RELATED ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 35(1), 41-48. SID. https://sid.ir/paper/562750/en

Vancouver: Copy

ZARE NAHANDI R.. ON ISOMORPHISM OF SIMPLICIAL COMPLEXES AND THEIR RELATED ALGEBRAS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2009;35(1):41-48. Available from: https://sid.ir/paper/562750/en

IEEE: Copy

R. ZARE NAHANDI, “ON ISOMORPHISM OF SIMPLICIAL COMPLEXES AND THEIR RELATED ALGEBRAS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 35, no. 1, pp. 41–48, 2009, [Online]. Available: https://sid.ir/paper/562750/en

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