@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}, volume = {130}, year = {2013}, pages = {115-128}, mrnumber = {3090634}, zbl = {1279.13025}, language = {en}, url = {http://dml.mathdoc.fr/item/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 130 (2013) pp. 115-128. http://gdmltest.u-ga.fr/item/RSMUP_2013__129__115_0/
[1] A Construction of Quasi-Gorenstein Rings, J. Algebra Appl. 11, no. 1 (2012), 1250013 (9 pages). | MR 2900883
- - - ,[2] Cohen-Macaulay Rings, Cambridge University press, Cambridge, 1993. | MR 1251956
- ,[3] Gorenstein Dimensions, Lecture Notes in Math. Vol. 1747, Springer, Berlin, 2000. | MR 1799866
,[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 2762509
- - ,[5] A construction of Gorenstein rings, J. Algebra 306 (2006), pp. 507-519. | MR 2271349
,[6] An amalgamated duplication of a ring along an ideal, J. Algebra Appl. 6, no. 3 (2007), pp. 443-459. | MR 2337762
- ,[7] Relative Homological Algebra, de Gruyter Expositions in Mathematics, vol. 30, Walter de Gruyter and Co., Berlin, 2000. | MR 1753146
- ,[8] Criteria for Flatness and Injectivity, Math. Z. 271, no. 3-4 (2012), pp. 1193-1210. | MR 2945604
- ,[9] Gorenstein Modules and Related Modules, Math. Scand. 31, (1972), pp. 267-284. | MR 327752
,[10] G-dimension and Generalized Perfect Ideals, Trudy Mat. Inst. Steklov. 165, (1984), pp. 62-66. | MR 752933
,[11] Cohen-Macaulay Homological Dimensions, Rend. Semin. Mat. Univ. Padova, 117 (2007), pp. 87-112. | Numdam | MR 2351787
- ,[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 2591686
- ,[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 2824582
- ,[14] Local Rings , Interscience, New York, 1962. | MR 155856
,[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 2578598
,[17] Amalgamated duplication of some special rings, Bulletin of Korean Math. Soc. 49 no. 5 (2012) pp. 989-996. | MR 3012966
- - ,[18] Divisor Theory in Module Categories, North-Holland Math. Stud., vol. 14, North-Holland Publishing Co., Amsterdam, (1974). | MR 498530
,[19] On modules with trivial self-extensions, J. Algebra, 114, no. 1 (1988), pp. 106-114. | MR 931903
,[20] On flat and injective dimension, Italian Journal of Pure and Applied Mathematics, N. 6 (1999), pp. 33-41. | MR 1758529
,