Localization of Semimodules

Jonathan S. Golan
Additional contact information
Jonathan S. Golan: University of Haifa

Chapter 18 in Semirings and their Applications, 1999, pp 203-210 from Springer

Abstract: Abstract In Chapter 10 we constructed semirings of fractions of certain semirings. We now subsume that construction in the more general construction of localizations of semimodules over semirings. Our method follows the method for modules over rings given in [Golan, 1986]. If R is a semiring then a nonempty subset k of lideal(R) is a topologizing filter if and only if the following conditions are satisfied: (1) If I ⊆ H are left ideals of R with I ∈ k then H ∈ k; (2) If I, H ∈ K then I ∩ H ∈ K; (3) If I ∈ K and a ∈ R then (I: a) ∈ K.

Keywords: Distributive Lattice; Nonempty Subset; Left Ideal; Commutative Monoid; Topologizing Filter (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-9333-5_18

Ordering information: This item can be ordered from
http://www.springer.com/9789401593335

DOI: 10.1007/978-94-015-9333-5_18

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().