Pure-minimal chain complexes
Christensen, Lars Winther1 ; Thompson, Peder2
1 Texas Tech University, Lubbock, USA
2 Texas Tech University, Lubbock, USA and The Norwegian University of Science and Technology (NTNU), Trondheim, Norway
Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 41-67.
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We introduce a notion of pure-minimality for chain complexes of modules and show that it coincides with (homotopic) minimality in standard settings, while being a more useful notion for complexes of flat modules. As applications, we characterize von Neumann regular rings and left perfect rings.

Publié le :
DOI : 10.4171/RSMUP/29
Classification : 16, 00
Mots-clés : Pure-minimal chain complex, flat dimension, perfect ring
Christensen, Lars Winther 1 ; Thompson, Peder 2

1 Texas Tech University, Lubbock, USA
2 Texas Tech University, Lubbock, USA and The Norwegian University of Science and Technology (NTNU), Trondheim, Norway 
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     author = {Christensen, Lars Winther and Thompson, Peder},
     title = {Pure-minimal chain complexes},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {41--67},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {142},
     year = {2019},
     doi = {10.4171/RSMUP/29},
     mrnumber = {4032803},
     zbl = {1454.16001},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/29/}
}
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Christensen, Lars Winther; Thompson, Peder. Pure-minimal chain complexes. Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 41-67. doi : 10.4171/RSMUP/29. http://www.numdam.org/articles/10.4171/RSMUP/29/

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