Prof Thomas Blyth

Emeritus Professor

Researcher profile

Email

tsb@st-andrews.ac.uk

Office

122 MI

Location

Mathematical Institute

 

Research areas

I am an algebraist and have worked for the past forty years on algebraic structures that involve the notion of an order. My main interests fall into three areas, namely residuated mappings, algebraic and ordered semigroups, and Ockham algebras. As far as the first and third of these are concerned, I am coauthor of definitive research monographs on each. Other research publications include 120 papers in principal mathematical journals.

See the the algebra group website for more infomation.

Selected publications

• Open access

  Module theory: an approach to linear algebra

  Blyth, T. S., Jan 2018, University of St Andrews.

  Research output: Book/Report › Book

• Open access

  Special subgroups of regular semigroups

  Blyth, T. S. & Almeida Santos, M. H., 3 Oct 2017, In: Communications in Algebra. 45, 10, p. 4246-4256 11 p.

  Research output: Contribution to journal › Article › peer-review

• De Morgan algebras with a quasi-Stone operator

  Blyth, T. S., Fang, J. & Wang, L., Feb 2015, In: Studia Logica. 103, 1, p. 75-90 16 p.

  Research output: Contribution to journal › Article › peer-review

• Residuated completely simple semigroups

  Blyth, T. S. & Pinto, G. A., Jun 2014, In: Algebra Colloquium. 21, 2, p. 181-194 14 p.

  Research output: Contribution to journal › Article › peer-review

• Balanced double Ockham algebras

  Blyth, T. S. & Fang, J., Dec 2008, In: Algebra Colloquium. 15, p. 609-618 10 p.

  Research output: Contribution to journal › Article › peer-review

• Naturally ordered regular semigroups with an inverse monoid transversal

  Blyth, T. S. & Santos, M. H. A., Jan 2008, In: Semigroup Forum. 76, p. 71-86 16 p.

  Research output: Contribution to journal › Article › peer-review

• The strong endomorphism kernel property in Ockham algebras

  Blyth, T. S. & Silva, H. J., May 2008, In: Communications in Algebra. 36, p. 1682-1694 13 p.

  Research output: Contribution to journal › Article › peer-review

• Derived Rees matrix semigroups as semigroups of transformations

  Blyth, T. S. & Santos, M. H. A., Sept 2006, In: Semigroup Forum. 73, p. 219-233 15 p.

  Research output: Contribution to journal › Article › peer-review

• Skew pairs of idempotents in transformation semigroups

  Blyth, T. S. & Almeida Santos, M. H., Nov 2006, In: Acta Mathematica Sinica-English Series. 22, p. 1705-1714 10 p.

  Research output: Contribution to journal › Article › peer-review

• Direct decompositions of Ockham algebras

  Blyth, T. S. & Silva, H. J., Jun 2004, In: Algebra Colloquium. 11, p. 239-248 10 p.

  Research output: Contribution to journal › Article › peer-review

 

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