The Algebraic Theory of Semigroups

Clifford, A. H., & Preston, G. B. (1961). The Algebraic Theory of Semigroups.

Type

Book

Intellectual base

Review or monograph

Year

1961

ISBN

9780821802726

Link

https://bookstore.ams.org/surv-7-1

Cited from

mathematics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Monoid
  • What has been built is the bicyclic monoid, the standard witness that a monoid can be infinite, can contain elements with a one-sided inverse and no two-sided one, and can still have nothing but the identity invertible.

    This sourceMathematical Surveys 7. American Mathematical Society, 1961. Presents the bicyclic semigroup as the standard example of an infinite monoid generated by a pair with a one-sided inverse only, whose group of units is trivial.

Domain-specific

• Bicyclic semigroup
  • Despite its name, it is a monoid and is infinite, noncommutative, and inverse.
• Catholic Semigroup
  • Inverse semigroup. Unique inverse assignment automatically separates elements and satisfies the regular catholic–orthodox conjunction.

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:248494d7b125 · see in the full table