Salahattin ÖZDEMİR, Sergio ESTRADA

6891

Finitistic Dimension Conjectures for representations of quivers

Let R be a ring and Q be a quiver. We prove the first Finitistic Dimension Conjecture to be true for RQ, the path ring of Q over R, provided that R satisfies the conjecture. In fact, we prove that if the little and the big finitistic dimensions of R coincide and equal n

Anahtar Kelimeler:

Finitistic dimension conjecture, path ring, quasi-Frobenius ring, quiver representation

Finitistic Dimension Conjectures for representations of quivers

Let R be a ring and Q be a quiver. We prove the first Finitistic Dimension Conjecture to be true for RQ, the path ring of Q over R, provided that R satisfies the conjecture. In fact, we prove that if the little and the big finitistic dimensions of R coincide and equal n

Keywords:

Finitistic dimension conjecture, path ring, quasi-Frobenius ring, quiver representation,

___

(⇐) It follows from the previous observation on projective (resp., injective) representations of discrete quivers. ✷

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

Sayıdaki Diğer Makaleler

On some results on IP-graphs

Roghayeh HAFEZIEH, Mohammadali IRANMANESH

Lp solutions of infinite time interval BSDEs and the corresponding g-expectations and g-martingales

Generalized Sobolev-Shubin spaces, boundedness and Schatten class properties of Toeplitz operators

Ahmet Turan GÜRKANLI, Ayşe SANDIKÇI

Finite rings and Wilson's theorem

Yasuyuki HIRANO, Manabu MATSUOKA

Second order approximations in sequential point estimation of the probability of zero in Poisson distribution

Eisa MAHMOUDI, Mohammad Hatami KAMIN

BBM equation with non-constant coefficients

Amutha SENTHILKUMAR

Isoclinic extensions of Lie algebras

Ali Reza SALEMKAR, Hamid MOHAMMADZADEH, Zahra RIYAHI

Products of conjugacy classes and products of irreducible characters in finite groups

Mohammad Reza DARAFSHEH, Sajjad Mahmood ROBATI

Finitistic Dimension Conjectures for representations of quivers

Salahattin ÖZDEMİR, Sergio ESTRADA

A note on chaos in product maps

Xiaoliang ZHOU, Risong LI