Prime Ideal Theory for General Algebras

Marcel Erné
Additional contact information
Marcel Erné: University of Hannover, Department of Mathematics

A chapter in Papers in Honour of Bernhard Banaschewski, 2000, pp 115-144 from Springer

Abstract: Abstract We introduce ideals, radicals and prime ideals in arbitrary algebras with at least one binary operation, and we show that various separation lemmas and prime ideal theorems are special instances of one general theorem which, in turn, is equivalent to the Boolean Prime Ideal Theorem (or Ultrafilter Principle).

Keywords: closure system; cm-lattice; distributive; ideal; locale; prime; quantale; radical; residuated; semiprime.; Primary: 06F05; 08A30; 20M12; 20N02; Secondary: 03G05; 16D30; 16N80; 17A65 (search for similar items in EconPapers)
Date: 2000
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:978-94-017-2529-3_7

Ordering information: This item can be ordered from
http://www.springer.com/9789401725293

DOI: 10.1007/978-94-017-2529-3_7

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 ().