428 citations
- The University of TokyoJP12 papers
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Showing 2009 · math.ACShow all
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math.AC2009★ 1 cited
Multigraded rings, diagonal subalgebras, and rational singularities
Kazuhiko Kurano, Ei-ichi Sato, Anurag K. Singh +1
We study the properties of F-rationality and F-regularity in multigraded rings and their diagonal subalgebras. The main focus is on diagonal subalgebras of bigraded rings: these co…
math.AC2009
Flat modules and Gröbner bases over truncated discrete valuation rings
Toshiro Hiranouchi, Yuichiro Taguchi
We present basic properties of Gröbner bases of submodules of a free module of finite rank over a polynomial ring with coefficients in a graded truncated discrete valuations ri…