Subdirectly irreducible semilattices with endomorphism

Jie FANG

doi:https://doi.org/10.15672/hujms.994459

Article Details

Subdirectly irreducible semilattices with endomorphism

Authors:

Jie FANG

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 2, pp.501-508

Document Type:

Article

Publication Date:

3/2022

Document Language:

English

Document ID (Org No.):

2000450303

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.994459

Abstract:

 


In this paper we initiate an investigation into the class of meet semilattices endowed with an endomorphism. A consideration of the subdirectly irreducible algebras leads to a description of a subclass of those algebras (S;∧,k)(S;∧,k) in which (S;∧)(S;∧) is a meet semilattice and kk is an endomorphism on SS characterised by the property k⩾idSk⩾idS. We particularly show that such an algebra is subdirectly irreducible if and only if it is a chain with one of the following forms 

       in which k(aj)=aj−1k(aj)=aj−1 for j⩾1j⩾1, k(0)=0k(0)=0 and k(a0)=a0k(a0)=a0.

.

Article Details

Subdirectly irreducible semilattices with endomorphism

Authors: Jie FANG

Publisher: Hacettepe University

Main Topics: Mathematics

Journal: Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 2, pp.501-508

Document Type: Article

Publication Date: 3/2022

Document Language: English

Document ID (Org No.): 2000450303

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.994459

Issues

Authors:

Jie FANG

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 2, pp.501-508

Document Type:

Article

Publication Date:

3/2022

Document Language:

English

Document ID (Org No.):

2000450303

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.994459