SOME RESULTS ON DELTA-PRIMARY SUBMODULES OF MODULES

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YEŞİLOT G., Şengelen Sevim E., Ulucak G., Aslankarayiğit Uğurlu E.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, vol.36, no.2, pp.459-464, 2018 (ESCI)

• Publication Type: Article / Article
• Volume: 36 Issue: 2
• Publication Date: 2018
• Journal Name: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
• Journal Indexes: Emerging Sources Citation Index (ESCI), Academic Search Premier, Directory of Open Access Journals
• Page Numbers: pp.459-464
• Keywords: Expansion of submodules, delta-primary submodules, multiplication modules
• Yıldız Technical University Affiliated: Yes

Abstract

In this paper we investigate delta- primary submodules which unify prime submodules and primary submodules. Our motivation is to extend the concept of delta- primary ideals into delta- primary submodules of modules over commutative rings. A number of main results about prime and primary submodules are extended into this general framework.