On Free Quadratic Modules of Commutative Algebras

ODABAŞ, ALPER; ULUALAN, ERDAL

doi:10.1007/s40840-015-0197-y

On Free Quadratic Modules of Commutative Algebras

Atıf İçin Kopyala

ODABAŞ A., ULUALAN E.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.39, sa.3, ss.1059-1074, 2016 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 39 Sayı: 3
Basım Tarihi: 2016
Doi Numarası: 10.1007/s40840-015-0197-y
Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1059-1074
Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we give a construction of (totally) free quadratic modules of commutative algebras on suitable construction data in terms of free simplicial algebras. Similar freeness results are also explored for reduced quadratic modules and quadratic (chain) complexes of algebras.