On Condition (PWP)w(PWP)w(PWP)_{w} for SSS-posets

Xingliang LIANG; Yanfeng LUO

Makale detayları

On Condition (PWP)w(PWP)w(PWP)_{w} for SSS-posets

Yazarlar:

Xingliang LIANG | Yanfeng LUO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 6, pp.795-809

Belge Tipi:

Makale

Yayın Tarihi:

12/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747080

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Golchin and Rezaei (Commun Algebra 2009; 37: 1995--2007) introduced the weak version of Condition (PWP)(PWP)(PWP) for SSS-posets, called Condition (PWP)w(PWP)w(PWP)_{w}. In this paper, we continue to study this condition. We first present a necessary and sufficient condition under which the SSS-poset A(I)A(I)A(I) satisfies Condition (PWP)w(PWP)w(PWP)_{w}. Furthermore, we characterize pomonoids SSS over which all cyclic (Rees factor) SSS-posets satisfy Condition (PWP)w(PWP)w(PWP)_{w}, and pomonoids SSS over which all Rees factor SSS-posets satisfying Condition (PWP)w(PWP)w(PWP)_{w} have a certain property. Finally, we consider direct products of SSS-posets satisfying Condition (PWP)w(PWP)w(PWP)_{w}.

 

Golchin and Rezaei (Commun Algebra 2009; 37: 1995--2007) introduced the weak version of Condition (PWP)(PWP)(PWP) for SSS-posets, called Condition (PWP)w(PWP)w(PWP)_{w}. In this paper, we continue to study this condition. We first present a necessary and sufficient condition under which the SSS-poset A(I)A(I)A(I) satisfies Condition (PWP)w(PWP)w(PWP)_{w}. Furthermore, we characterize pomonoids SSS over which all cyclic (Rees factor) SSS-posets satisfy Condition (PWP)w(PWP)w(PWP)_{w}, and pomonoids SSS over which all Rees factor SSS-posets satisfying Condition (PWP)w(PWP)w(PWP)_{w} have a certain property. Finally, we consider direct products of SSS-posets satisfying Condition (PWP)w(PWP)w(PWP)_{w}.

Makale detayları

On Condition (PWP)w(PWP)w(PWP)_{w} for SSS-posets

Yazarlar: Xingliang LIANG | Yanfeng LUO

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2015 Vol.39 Issue 6, pp.795-809

Belge Tipi: Makale

Yayın Tarihi: 12/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000747080

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Condition (PWP)w(PWP)w(PWP)_{w}

SSS-poset

Rees factor SSS-poset

direct product

Sayı

Yazarlar:

Xingliang LIANG | Yanfeng LUO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 6, pp.795-809

Belge Tipi:

Makale

Yayın Tarihi:

12/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747080

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098