English

Integral domains with Boolean t-Class semigroup

Commutative Algebra 2016-01-29 v1

Abstract

The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideals with the operation induced by t-multiplication. This paper investigates integral domains with Boolean t-class semigroup with an emphasis on the GCD and stability conditions. The main results establish t-analogues for well-known results on Prufer domains and Bezout domains of finite character.

Cite

@article{arxiv.1601.07660,
  title  = {Integral domains with Boolean t-Class semigroup},
  author = {S. Kabbaj and A. Mimouni},
  journal= {arXiv preprint arXiv:1601.07660},
  year   = {2016}
}

Comments

8 pages

R2 v1 2026-06-22T12:38:21.445Z