Absolutely Pure Modules
نویسندگان
چکیده
منابع مشابه
A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS
In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure. We also introduce strongly finitely presented S-posets to characterize absolutely pure S-posets. Similar to the acts, every finitely presented cyclic S-posets is isomorphic to a factor S-poset of a pomonoid S by a finitely generated right con...
متن کاملAbsolutely Indecomposable Modules
A module is called absolutely indecomposable if it is directly indecomposable in every generic extension of the universe. We want to show the existence of large abelian groups that are absolutely indecomposable. This will follow from a more general result about R-modules over a large class of commutative rings R with endomorphism ring R which remains the same when passing to a generic extension...
متن کاملSuperdecomposable pure-injective modules
Existence of superdecomposable pure-injective modules reflects complexity in the category of finite-dimensional representations. We describe the relation in terms of pointed modules. We present methods for producing superdecomposable pure-injectives and give some details of recent work of Harland doing this in the context of tubular algebras. 2010 Mathematics Subject Classification. Primary 16G...
متن کاملPure-injective modules
The pure-injective R-modules are defined easily enough: as those modules which are injective over all pure embeddings, where an embedding A → B is said to be pure if every finite system of R-linear equations with constants from A and a solution in B has a solution in A. But the definition itself gives no indication of the rich theory around purity and pure-injectivity. The purpose of this surve...
متن کاملDefinition of Pure Hodge Modules
(3) A good filtration F•M by OX -coherent subsheaves of M, such that FpM · FkD ⊂ Fp+kM and such that gr• M is coherent over gr• DX ' Sym • TX . Its Tate twist is defined by M(k) = (M, F•−kM,K ⊗Q Q(k)) where Q(k) = (2πi)Q ⊂ C. For a given function f : X → C, we want to define the nearby and vanishing cycles, denoted ψf and φf , in the category of filtered regular holonomic D-modules with Q-struc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1970
ISSN: 0002-9939
DOI: 10.2307/2037108