Class semigroups and t-class semigroups of integral domains

Silvana Bazzoni () and Salah-Eddine Kabbaj ()
Additional contact information
Silvana Bazzoni: Università di Padova, Dipartimento di Matematica Pura e Applicata
Salah-Eddine Kabbaj: KFUPM, Department of Mathematics and Statistics

A chapter in Commutative Algebra, 2011, pp 47-76 from Springer

Abstract: Abstract The class (resp., t-class) semigroup of an integral domain is the semigroup of the isomorphy classes of the nonzero fractional ideals (resp., t-ideals) with the operation induced by ideal (t-) multiplication. This paper surveys recent literature which studies ring-theoretic conditions that reflect reciprocally in the Clifford property of the class (resp., t-class) semigroup. Precisely, it examines integral domains with Clifford class (resp., t-class) semigroup and describes their idempotent elements and the structure of their associated constituent groups.

Keywords: Prime Ideal; Integral Domain; Stable Domain; Endomorphism Ring; Regular Domain (search for similar items in EconPapers)
Date: 2011
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:978-1-4419-6990-3_3

Ordering information: This item can be ordered from
http://www.springer.com/9781441969903

DOI: 10.1007/978-1-4419-6990-3_3

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 ().