(p, λ)-Koszul algebras and modules, II

Jia-Feng LU

doi:https://doi.org/10.3906/mat-1009-41

Makale detayları

(p, λ)-Koszul algebras and modules, II

Yazarlar:

Jia-Feng LU

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.244-258

Belge Tipi:

Makale

Yayın Tarihi:

1/2013

Belge Dili:

İngilizce

Document ID (Org No.):

2000747647

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1009-41

Anahtar kelimeler:

Özet:

 

This paper is a continuous work of [14], where the notions  of (p,l)-Koszul algebra and (p,l)-Koszul module were first introduced.  More precisely, some new criteria for a positively graded algebra to be (p,l)-Koszul are provided.  We also generalize (p,l)-Koszul objects to the nongraded case and define the so-called quasi-(p,l)-Koszul objects.  Further, the  relationships between (quasi-) (p,l)-Koszul modules and minimal  Horseshoe Lemma are established.

 

This paper is a continuous work of [14], where the notions  of (p,l)-Koszul algebra and (p,l)-Koszul module were first introduced.  More precisely, some new criteria for a positively graded algebra to be (p,l)-Koszul are provided.  We also generalize (p,l)-Koszul objects to the nongraded case and define the so-called quasi-(p,l)-Koszul objects.  Further, the  relationships between (quasi-) (p,l)-Koszul modules and minimal  Horseshoe Lemma are established.

Makale detayları

(p, λ)-Koszul algebras and modules, II

Yazarlar:

Jia-Feng LU

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.244-258

Belge Tipi:

Makale

Yayın Tarihi:

1/2013

Belge Dili:

İngilizce

Document ID (Org No.):

2000747647

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1009-41

(p

l)-Koszul algebras and modules

minimal Horseshoe Lemma

Sayı

Makale detayları

(p, λ)-Koszul algebras and modules, II

Yazarlar: Jia-Feng LU

Yayıncı: TUBITAK

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.244-258

Belge Tipi: Makale

Yayın Tarihi: 1/2013

Belge Dili: İngilizce

Document ID (Org No.): 2000747647

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

DOI: https://doi.org/10.3906/mat-1009-41

(p

l)-Koszul algebras and modules

minimal Horseshoe Lemma

Sayı

Yazarlar:

Jia-Feng LU

Yayıncı:

TUBITAK

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.244-258

Belge Tipi:

Makale

Yayın Tarihi:

1/2013

Belge Dili:

İngilizce

Document ID (Org No.):

2000747647

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1009-41