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Homomorphisms of progenerator modules and direct limits
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 23, Issue 2A (31 Jul. 1998), pp.195-202, 8 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
1998-07-31
Country of Publication
Saudi Arabia
No. of Pages
8
Main Subjects
Abstract EN
In 1988, F.
R.
DeMeyer and T.
J.
Ford [1] introduced a relation called homo-topy 0li the set of homomorphisms of progenerator modules over a commutative rmg R.
The set of homotopy classes forms a commutative monoid M.
(R), with operation induced by tensor product.
The assignment R —► M (R) determines an additive covariant functor from the category of commutative rings to the category °f c°mmutative monoids.
The monoid M (R) has been explicitly computed in [1] if R is a Dedekind domain.
In this paper we compute M (R) for the ring of all algebraic integers wh'ch is not a Dedekind domain but is a direct limit of Dedekind domains.
American Psychological Association (APA)
Kakakhail, Haniya. 1998. Homomorphisms of progenerator modules and direct limits. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 23, no. 2A, pp.195-202.
https://search.emarefa.net/detail/BIM-389874
Modern Language Association (MLA)
Kakakhail, Haniya. Homomorphisms of progenerator modules and direct limits. The Arabian Journal for Science and Engineering. Section A, Science Vol. 23, no. 2A (Jul. 1998), pp.195-202.
https://search.emarefa.net/detail/BIM-389874
American Medical Association (AMA)
Kakakhail, Haniya. Homomorphisms of progenerator modules and direct limits. The Arabian Journal for Science and Engineering. Section A, Science. 1998. Vol. 23, no. 2A, pp.195-202.
https://search.emarefa.net/detail/BIM-389874
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 202
Record ID
BIM-389874