Associated and Attached Primes of Some Graded Modules Over Semigroup Rings |
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| Authors: | Hossein Sabzrou Massoud Tousi |
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| Affiliation: | 1. School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics (IPM) , Tehran, Iran hossein@ipm.ir;3. Department of Mathematics , Shahid Beheshti University , Tehran, Iran;4. School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics (IPM) , Tehran, Iran |
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| Abstract: | In this paper, algebras are finite dimensional over an algebraically closed field k, and modules are k-finite dimensional left modules. We prove the stable equivalence conjecture for algebras stably equivalent to algebras A with the following conditions: basic, connected and selfinjective; rad3A = 0 but rad2A ¬ 0; and the separated quiver Q3 A of the quiver QA of A consisting of more than two connected components. |
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| Keywords: | Associated prime Attached prime Canonical module Local cohomology Monomial ideal Sector partition Simplicial semigroup ring |
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