Rees matrix semigroups and the regular semidirect product

Auinger, Karl; Szendrei, Mária B.

doi:10.1017/s1446788700009320

Search citation statements

Order By: Relevance

Paper Sections

Select...

Products1

A Necessary and Sufficient Condition For1

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Pastijn product derives from a construction which is a mixture between a Rees matrix semigroup and a semidirect product, the precise definition of which will not be needed here and can be found in [13,9,5].…”

Section: Productsmentioning

confidence: 99%

See 1 more Smart Citation

Comparing the regular and the restricted regular semidirect products

Auinger

Szendrei

2004

Algebra univers.

Self Cite

View full text Add to dashboard Cite

We compare the two recently introduced semidirect product operations * r and * rr within the lattice of e-varieties of locally inverse semigroups. For each e-variety V which contains all rectangular bands and is properly contained in the e-variety of all completely simple semigroups, the inclusions S * rr V S * r V S * rr (Aq • V)are proved where S is the e-variety of all semilattices and Aq the variety of all abelian groups of exponent dividing q where q is any integer greater than one. Some consequences for the class of finite locally inverse semigroups are also obtained.

show abstract

Section: Productsmentioning

confidence: 99%

“…In the following, we recall the description of the bifree object BF (S * r V)(X) obtained in [5]. Let Q = {q yz | y, z ∈ X} be a set in bijective correspondence q yz ↔ (y, z) with X × X.…”

Section: A Necessary and Sufficient Condition Formentioning

confidence: 99%