@article{RSMUP_2013__129__115_0, author = {Salimi, Maryam and Tavasoli, Elham and Yassemi, Siamak}, title = {The amalgamated duplication of a ring along a semidualizing ideal}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {115--128}, publisher = {Seminario Matematico of the University of Padua}, volume = {129}, year = {2013}, mrnumber = {3090634}, zbl = {1279.13025}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_2013__129__115_0/} }
TY - JOUR AU - Salimi, Maryam AU - Tavasoli, Elham AU - Yassemi, Siamak TI - The amalgamated duplication of a ring along a semidualizing ideal JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2013 SP - 115 EP - 128 VL - 129 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2013__129__115_0/ LA - en ID - RSMUP_2013__129__115_0 ER -
%0 Journal Article %A Salimi, Maryam %A Tavasoli, Elham %A Yassemi, Siamak %T The amalgamated duplication of a ring along a semidualizing ideal %J Rendiconti del Seminario Matematico della Università di Padova %D 2013 %P 115-128 %V 129 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2013__129__115_0/ %G en %F RSMUP_2013__129__115_0
Salimi, Maryam; Tavasoli, Elham; Yassemi, Siamak. The amalgamated duplication of a ring along a semidualizing ideal. Rendiconti del Seminario Matematico della Università di Padova, Tome 129 (2013), pp. 115-128. http://archive.numdam.org/item/RSMUP_2013__129__115_0/
[1] A Construction of Quasi-Gorenstein Rings, J. Algebra Appl. 11, no. 1 (2012), 1250013 (9 pages). | MR
- - - ,[2] Cohen-Macaulay Rings, Cambridge University press, Cambridge, 1993. | MR
- ,[3] Gorenstein Dimensions, Lecture Notes in Math. Vol. 1747, Springer, Berlin, 2000. | MR
,[4] Beyond Totally Reflexive Modules and Back: a survey on Gorenstein dimensions, ]Commutative Algebra-Noetherian and non-Noetherian Perspectives^, 101-143, Springer, New York, 2011. | MR
- - ,[5] A construction of Gorenstein rings, J. Algebra 306 (2006), pp. 507-519. | MR
,[6] An amalgamated duplication of a ring along an ideal, J. Algebra Appl. 6, no. 3 (2007), pp. 443-459. | MR
- ,[7] Relative Homological Algebra, de Gruyter Expositions in Mathematics, vol. 30, Walter de Gruyter and Co., Berlin, 2000. | MR
- ,[8] Criteria for Flatness and Injectivity, Math. Z. 271, no. 3-4 (2012), pp. 1193-1210. | MR
- ,[9] Gorenstein Modules and Related Modules, Math. Scand. 31, (1972), pp. 267-284. | MR
,[10] G-dimension and Generalized Perfect Ideals, Trudy Mat. Inst. Steklov. 165, (1984), pp. 62-66. | MR
,[11] Cohen-Macaulay Homological Dimensions, Rend. Semin. Mat. Univ. Padova, 117 (2007), pp. 87-112. | Numdam | MR
- ,[12] Homological dimension of the amalgamated duplication of a ring along a pure ideal, Afr. Diaspora J. Math. (N. S.) 10, no. 1, (2010), pp. 1-6. | MR
- ,[13] Gorenstein global dimension of an amalgamated duplication of a coherent ring along an ideal, Mediterr. J. Math. 8, no. 3 (2011), pp. 293-305. | MR
- ,[14] Local Rings , Interscience, New York, 1962. | MR
,[15] Semidualizing modules, URL:http://www.ndsu.edu/pubweb/~ssatherw/.
,[16] On a construction of Gorenstein rings proposed by M. D'Anna, J. Algebra, 323 (2010), pp. 1155-1158. | MR
,[17] Amalgamated duplication of some special rings, Bulletin of Korean Math. Soc. 49 no. 5 (2012) pp. 989-996. | MR
- - ,[18] Divisor Theory in Module Categories, North-Holland Math. Stud., vol. 14, North-Holland Publishing Co., Amsterdam, (1974). | MR
,[19] On modules with trivial self-extensions, J. Algebra, 114, no. 1 (1988), pp. 106-114. | MR
,[20] On flat and injective dimension, Italian Journal of Pure and Applied Mathematics, N. 6 (1999), pp. 33-41. | MR
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