CrossRef Open Access 2013 26 sitasi

Tate (co)homology via pinched complexes

Lars Christensen David Jorgensen

Abstrak

For complexes of modules we study two new constructions which we call the pinched tensor product and the pinched Hom. They provide new methods for computing Tate homology T o r ^ \operatorname {\widehat {Tor}} and Tate cohomology E x t ^ \operatorname {\widehat {Ext}} , which lead to conceptual proofs of balancedness of Tate (co)homology for modules over associative rings. Another application we consider is in local algebra. Under conditions of the vanishing of Tate (co)homology, the pinched tensor product of two minimal complete resolutions yields a minimal complete resolution.

Penulis (2)

Lars Christensen

David Jorgensen

Format Sitasi

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Christensen, L., Jorgensen, D. (2013). Tate (co)homology via pinched complexes. https://doi.org/10.1090/s0002-9947-2013-05746-7

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Total Sitasi: 26×
Sumber Database: CrossRef
DOI: 10.1090/s0002-9947-2013-05746-7
Akses: Open Access ✓