Skip to main content
Article thumbnail
Location of Repository

Quasi-ideal transversals of abundant semigroups and spined products

By Jehan Al-Bar and James Renshaw


We provide a new and much simpler structure for quasi-ideal adequate transversals of abundant semigroups in terms of spined products, which is similar in nature to that given by Saito for weakly multiplicative inverse transversals of regular semigroups [10]. As a consequence we deduce a similar result for multiplicative transversals of abundant semigroups and also consider the case when the semigroups are in fact regular and provide some new structure theorems for inverse transversals

Topics: QA76
Year: 2011
OAI identifier:
Provided by: e-Prints Soton

Suggested articles


  1. (1993). Abundant Semigroups with a multiplicative Type A transversal,
  2. (1982). Abundant Semigroups,
  3. (1979). Adequate Semigroups,
  4. (1995). Fundamentals of Semigroup Theory, London Mathematical Society Monographs,
  5. (1999). Inverse Transversals - A Guided Tour'
  6. (2009). On adequate transversals,
  7. (1985). Regular Semigroups with a weakly multiplicative Inverse Transversals,
  8. (1983). Regular Semigroups with inverse transversals,
  9. (2003). Relationships between the Quasi-ideal Adequate Transversals of an

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.