GORENSTEIN-INJECTORS, GORENSTEIN-FLATORS
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
Over a ring R, let PR be a finitely generated projective right R-module. Then we define the G-injector (G-projector) if PR preservers Gorenstein injective modules (Gorenstein projective modules), the Gflator if PR preservers Gorenstein flat modules. G-injector (G-flator)and G-injector are characterized focus primarily on the cases where R is a Gorenstein ring, and under this condition we also study the relations between the injector (projector, flator) and the G-injector (G-projector,G-flator). Over any ring we also give the characteristics of G-injector (Gflator)by the Gorenstein injective (Gorenstein flat) dimensions of modules.
Abstract
Over a ring R, let PR be a finitely generated projective right R-module. Then we define the G-injector (G-projector) if PR preservers Gorenstein injective modules (Gorenstein projective modules), the Gflator if PR preservers Gorenstein flat modules. G-injector (G-flator)and G-injector are characterized focus primarily on the cases where R is a Gorenstein ring, and under this condition we also study the relations between the injector (projector, flator) and the G-injector (G-projector,G-flator). Over any ring we also give the characteristics of G-injector (Gflator)by the Gorenstein injective (Gorenstein flat) dimensions of modules.
참고문헌 (13)
- F. W. Anderson, "Endomorphism rings of projective modules", Math. Z., 111, pp.322~332 (1969)
- F. W. Anderson, "Rings and Categories of Modules, Graduate Texts in Mathematics, Vol. 13" (1974), Springer-Verlag
- D. Bennis, "Strongly Gorenstein projective, injective, and flat modules", J. Pure Appl. Algebra, 210(2), pp.437~445 (2007)
- D. Bennis, "Global Gorenstein dimension", Proc. Amer. Math. Soc., 138(2), pp.461~465 (2010)
- E. E. Enochs, "Copure injective resolutions, flat resolvents and dimensions", Comment. Math. Univ. Carolin., 34(2), pp.203~211 (1993)
- E. E. Enochs, "Gorenstein injective and projective modules", Math. Z., 220(4), pp.611~633 (1995)
- E. E. Enochs, "Relative Homological Algebra, de Gruyter Expositions in Mathematics, 30" (2000), Walter de Gruyter & Co.
- E. E. Enochs, "Gorenstein flat modules", Nanjing Daxue Xuebao Shuxue Bannian Kan, 10(1), pp.1~9 (1993)
- H. Holm, "Gorenstein homological dimensions", J. Pure Appl. Algebra, 189(1), pp.167~193 (2004)
- R. W. Miller, "Endomorphism rings of finitely generated projective modules", Pacific J. Math., 47, pp.199~220 (1973)
- K. Morita, "Adjoint pairs of functors and Frobenius extensions", Sci. Rep. Tokyo Kyoiku Daigaku Sect. A, 9, pp.40~71 (1965)
- 1979, , ~
- J. Xu, "Flat Covers of Modules", Lecture Notes in Mathematics, 통권 : 1634, Springer-Verlag