Nonsingular retractable modules and their endomorphism rings
نویسندگان
چکیده
منابع مشابه
Endomorphism Rings of Protective Modules
The object of this paper is to study the relationship between certain projective modules and their endomorphism rings. Specifically, the basic problem is to describe the projective modules whose endomorphism rings are (von Neumann) regular, local semiperfect, or left perfect. Call a projective module regular if every cyclic submodule is a direct summand. Thus a ring is a regular module if it is...
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Let (R, m) denote an n-dimensional complete local Gorenstein ring. For an ideal I of R let H I(R), i ∈ Z, denote the local cohomology modules of R with respect to I. If H i I(R) = 0 for all i 6= c = height I, then the endomorphism ring of H I (R) is isomorphic to R (cf. [5] and [4]). Here we prove that this is true if and only if H I(R) = 0, i = n, n − 1 provided c ≥ 2 and R/I has an isolated s...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1991
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s000497270002877x