The permutation projective dimension of the quaternionic group |
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Authors: | James E Arnold |
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Institution: | Department of Mathematical Sciences , The University of Wisconsin-Milwaukee , Milwaukee , WI , 53201 |
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Abstract: | Abstract Let R be a commutative Noetherian local Gorenstein ring with residue field k. We show that G(k), the Gorenstein injective envelope of k, is an artinian R-module, and we compute G(k) in the case where R = kS]] is a semigroup ring and S is symmetric. We also show that a certain subring of the endomorphism ring of G(k) is a complete local (but possibly non-commutative) ring. |
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Keywords: | Gorenstein local ring Gorenstein injective Injective envelope |
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