Divisibility and duo-rings
Albrecht, Ulrich1 ; McQuaig, Bradley1
1 Auburn University, USA
Rendiconti del Seminario Matematico della Università di Padova, Tome 143 (2020), pp. 81-103.
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This paper investigates the projective dimension of the maximal right ring of quotients Q r (R) of a right non-singular ringR. Our discussion addresses the question under which conditions pd(Q)≤1 guarantees that the module Q/R is a direct sum of countably generated modules extending Matlis’ Theorem for integral domains to a non-commutative setting.

Publié le :
DOI : 10.4171/RSMUP/40
Classification : 16, 00
Mots-clés : Divisible, duo-rings, pre-Matlis
Albrecht, Ulrich 1 ; McQuaig, Bradley 1

1 Auburn University, USA 
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     title = {Divisibility and duo-rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {81--103},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {143},
     year = {2020},
     doi = {10.4171/RSMUP/40},
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     zbl = {1448.16001},
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Albrecht, Ulrich; McQuaig, Bradley. Divisibility and duo-rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 143 (2020), pp. 81-103. doi : 10.4171/RSMUP/40. http://archive.numdam.org/articles/10.4171/RSMUP/40/

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