Reflexive modules
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# Reflexive modules

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Published .
Written in English

## Book details:

Classifications
LC ClassificationsMicrofilm 49117
The Physical Object
FormatMicroform
Paginationiii, 36 l.
Number of Pages36
ID Numbers
Open LibraryOL1368454M
LC Control Number92895751

Reflexive modules. This section is the analogue of More on Algebra, Section for coherent modules on locally Noetherian schemes. The reason for working with coherent modules is that $\mathop{\mathcal{H}\! \mathit{om}}\nolimits _{\mathcal{O}_ X}(\mathcal{F}, \mathcal{G})$ is coherent for every pair of coherent $\mathcal{O}_ X$-modules $\mathcal{F}, \mathcal{G}$, see Modules, Lemma . CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): revision modified In a recent paper [11] we answered to the negative a question raised in the book by Eklof and Mekler [8, p. , Problem 12] under the set theoretical hypothesis of ♦ℵ1 which holds in many models of set theory. The Problem 12 in [8] reads as follows: If A is a dual. A quasi-Frobenius (QF) ring R may be described as a ring with the property that all of its modules are reflexive or equivalently Ext i (M, R) = 0 for all i ≥ 1 and all R-modules M. The chapter presents a class of commutative noetherian local rings, called BNSI rings, that are as different as possible from QF rings.   Reflexive learning has its theoretical roots in reflexivity, a key concept from many philosophers, including Immanuel Kant and John Locke. Reflexive learning is an .