A sheaf on the second spectrum of a module

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ÇEKEN S., ALKAN M.

COMMUNICATIONS IN ALGEBRA, cilt.46, sa.12, ss.5487-5499, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 12
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/00927872.2018.1472270
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5487-5499
  • Anahtar Kelimeler: Second submodule, dual Zariski topology, sheaf of modules, ZARISKI TOPOLOGY, PRIME SPECTRUM, DUAL NOTION
  • Akdeniz Üniversitesi Adresli: Evet

Özet

Let R be a commutative ring with identity and Spec(5)(M) denote the set all second submodules of an R-module M. In this paper, we construct and study a sheaf of modules, denoted by O(N, M), on Spec(5)(M) equipped with the dual Zariski topology of M, where N is an R-module. We give a characterization of the sections of the sheaf O(N, M) in terms of the ideal transform module. We present some interrelations between algebraic properties of N and the sections of O(N, M). We obtain some morphisms of sheaves induced by ring and module homomorphisms.