Comultiplication modules over a pullback of Dedekind domains
Reza Ebrahimi Atani; Shahabaddin Ebrahimi Atani
Czechoslovak Mathematical Journal (2009)
- Volume: 59, Issue: 4, page 1103-1114
- ISSN: 0011-4642
Access Full Article
topAbstract
topHow to cite
topReferences
top- Assen, I., Simson, D., Skowroński, A., Representation Theory of Associative Algebra. Vol. 1, Techniques of Representation Theory. London Math. Soc. Student Texts 65, Cambridge Univ. Press, Cambridge-New York (2007). (2007) MR2197389
- Ansari-Toroghy, H., Farshadifar, F., On endomorphisms of multiplication and comultiplication modules, Archivum Mathematicum 44 (2008), 9-15. (2008) MR2431226
- Bass, H., 10.1007/BF01112819, Math. Z. 82 (1963), 8-29. (1963) Zbl0112.26604MR0153708DOI10.1007/BF01112819
- El-Bast, Z. A., Smith, P. F., 10.1080/00927878808823601, Comm. Algebra. 16 (1988), 755-779. (1988) Zbl0642.13003MR0932633DOI10.1080/00927878808823601
- Atani, S. Ebrahimi, 10.1080/00927870008827074, Comm. Algebra 28 (2000), 4037-4069. (2000) MR1772008DOI10.1080/00927870008827074
- Atani, S. Ebrahimi, 10.1081/AGB-120003982, Comm. Algebra 30 (2002), 2675-2685. (2002) Zbl1011.13004MR1908232DOI10.1081/AGB-120003982
- Atani, S. Ebrahimi, 10.1007/s10587-004-6426-4, Czech. Math. J. 54 (2004), 781-789. (2004) MR2086734DOI10.1007/s10587-004-6426-4
- Atani, S. Ebrahimi, Farzalipour, F., Weak multiplication modules over a pullback of Dedekind domains, (to appear) in Colloq. Math. MR2457281
- Atani, S. Ebrahimi, Indecomposable weak multiplication modules over Dedekind domains, Demonstratio Mathematica XLI 41 (2008), 33-43. (2008) MR2394295
- Atani, S. Ebrahimi, 10.1007/s10012-001-0001-9, Southeast Asian Bull. Math. 25 (2001), 1-6. (2001) MR1832737DOI10.1007/s10012-001-0001-9
- Facchini, A., Vamos, P., Injective modules over pullbacks, J. London Math. Soc. 31 (1985), 125-138. (1985) Zbl0526.16014MR0812770
- Kietpiński, R., On -pure injective modules, Bull. Polon. Acad. Sci. Math. 15 (1967), 127-131. (1967)
- Levy, L., 10.1016/0021-8693(81)90106-X, J. Algebra 71 (1981), 50-61. (1981) Zbl0508.16008MR0627425DOI10.1016/0021-8693(81)90106-X
- Levy, L., 10.1016/0021-8693(85)90176-0, J. Algebra 93 (1985), 1-116. (1985) Zbl0564.13010MR0780485DOI10.1016/0021-8693(85)90176-0
- Levy, L., 10.1016/0021-8693(81)90107-1, J. Algebra 70 (1981), 62-114. (1981) Zbl0508.16009MR0627426DOI10.1016/0021-8693(81)90107-1
- Nazarova, L. A., Roiter, A. V., Finitely generated modules over a dyad of local Dedekind rings and finite group having an abelian normal subgroup of index , Russian Izv. Acad. Nauk. SSSR 33 (1969), 65-89. (1969) MR0260859
- Prest, M., Model Theory and Modules, London Mathematical Society, Cambridge University Press, Cambridge (1988). (1988) Zbl0634.03025MR0933092
- Prest, M., 10.1006/jabr.1998.7472, J. Algebra 207 (1998), 146-164. (1998) Zbl0936.16014MR1643078DOI10.1006/jabr.1998.7472
- Simson, D., Linear Representations of Partially Ordered Sets and Vector Space Categories, Algebra, Logic and Applications. Vol. 4, Gordon and Breach Science Publishers, Switzerland-Australia (1992). (1992) Zbl0818.16009MR1241646
- Simson, D., 10.1016/j.jpaa.2005.01.012, J. Pure Appl. Algebra 202 (2005), 118-132. (2005) Zbl1151.16014MR2163404DOI10.1016/j.jpaa.2005.01.012
- Sharp, R. Y., Steps in Commutative Algebra, London Mathematical Society, Student Texts, Vol. 19, Cambridge University Press, Cambridge (1990). (1990) Zbl0703.13001MR1070568
- Warfield, R. B., 10.2140/pjm.1969.28.699, Pacific J. Math. 28 (1969), 699-719. (1969) Zbl0172.04801MR0242885DOI10.2140/pjm.1969.28.699
- Wiseman, A. N., 10.1017/S0305004100062964, Math. Proc. Cambridge Philos. Soc. 97 (1985), 399-106. (1985) Zbl0588.16016MR0778673DOI10.1017/S0305004100062964