Karya
Judul/Title RADICAL RELATED TO SPECIAL ATOMS REVISITED
Penulis/Author Halina France Jackson (1) ; Prof. Dr. Sri Wahyuni, S.U. (2); Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (3)
Tanggal/Date 2015
Kata Kunci/Keyword
Abstrak/Abstract A semiprime ring R is called a ?-ring if the factor ring R/I is in the prime radical for every nonzero ideal I of R. A long-standing open question posed by Gardner asks whether the prime radical coincides with the upper radical U(?k) generated by the essential cover of the class of all ?-rings. This question is related to many other open questions in radical theory which makes studying properties of U(?k) worthwhile. We show that U(?k) is an N-radical and that it coincides with the prime radical if and only if it is complemented in the lattice LN of all N-radicals. Along the way, we show how to establish left hereditariness and left strongness of important upper radicals and give a complete description of all the complemented elements in LN.
Rumpun Ilmu Matematika
Bahasa Asli/Original Language English
Level Internasional
Status
Dokumen Karya
No Judul Tipe Dokumen Aksi
1DEPAN-baru.pdf[PAK] Halaman Cover
2DAFTAR-ISI-BARU.pdf[PAK] Daftar Isi
3Editorial-BOARD-.pdf[PAK] Halaman Editorial
4Dokumen-Lengkap-Radical.pdf[PAK] Full Dokumen
5Scimago-Bulletin of the Australian Mathematical Society.pdfDokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)