Morita equivalence based on Morita context for arbitrary semigroups

Hongxing LİU

Article Details

Morita equivalence based on Morita context for arbitrary semigroups

Authors:

Hongxing LİU

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 4, pp.1083-1090

Document Type:

Article

Publication Date:

7/2016

Document Language:

English

Document ID (Org No.):

2000452539

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

Abstract:

 


In this paper, we study the Morita context for arbitrary semigroups. Weprove that, for two semigroups S and T, if there exists a Morita context(S,T,P,Q,τ,μ)(S,T,P,Q,τ,μ)(S, T, P, Q, \tau, \mu) (not necessary unital) such that the maps ττ\tau and μμ\mu aresurjective, the categories U S -FAct and U T -FAct are equivalent. Usingthis result, we generalize Theorem 2 in [2] to arbitrary semigroups.Finally, we give a characterization of Morita context for semigroups.

.

Article Details

Morita equivalence based on Morita context for arbitrary semigroups

Authors: Hongxing LİU

Publisher: Hacettepe University

Main Topics: Mathematics

Journal: Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 4, pp.1083-1090

Document Type: Article

Publication Date: 7/2016

Document Language: English

Document ID (Org No.): 2000452539

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

Issues

Authors:

Hongxing LİU

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 4, pp.1083-1090

Document Type:

Article

Publication Date:

7/2016

Document Language:

English

Document ID (Org No.):

2000452539

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X