Weakly unique factorization modules

ORAL, KÜRŞAT; TEKİR, ÜNSAL; AĞARGÜN, AHMET

doi:10.5556/j.tkjm.41.2010.729

Weakly unique factorization modules

ORAL K. H., TEKİR Ü., AĞARGÜN A. G.

TAMKANG JOURNAL OF MATHEMATICS, cilt.41, sa.3, ss.245-252, 2010 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 41 Sayı: 3
Basım Tarihi: 2010
Doi Numarası: 10.5556/j.tkjm.41.2010.729
Dergi Adı: TAMKANG JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.245-252
Marmara Üniversitesi Adresli: Evet

Özet

In this work we give the definition of weakly prime element of a module. Therefore we give a new definition of factorization in a module, which is called weakly factorization. So we call a module weakly unique factorization module if all elements have a weakly factorization which is unique. We give the relation between weakly prime elements and weakly prime submodules. Then we characterize such weakly unique factorization modules.