Title | : | A PRIME ESSENTIAL RING THAT GENERATES A SPECIAL ATOM |
Author | : |
Prof. Dr. Sri Wahyuni, S.U. (1) Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (2) Halina France Jackson (3) |
Date | : | 0 2016 |
Keyword | : | left hereditary radical,prime essential ring,prime radical,special and supernilpotent atoms,special and supernilpotent radicals left hereditary radical,prime essential ring,prime radical,special and supernilpotent atoms,special and supernilpotent radicals |
Abstract | : | A special atom (respectively, supernilpotent atom) is a minimal element of the lattice S of all special radicals (respectively, a minimal element of the lattice K of all supernilpotent radicals). A semiprime ring R is called prime essential if every nonzero prime ideal of R has a nonzero intersection with each nonzero two-sided ideal of R. We construct a prime essential ring R such that the smallest supernilpotent radical containing R is not a supernilpotent atom but where the smallest special radical containing is a special atom. This answers a question put by Puczylowski and Roszkowska. © 2016 Australian Mathematical Publishing Association Inc. |
Group of Knowledge | : | Matematika |
Original Language | : | English |
Level | : | Internasional |
Status | : |
Published
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DEPAN-baru.pdf
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Editorial-BOARD-.pdf
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Daftar-ISI-Prime.pdf
Document Type : [PAK] Daftar Isi
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A PRIME ESSENTIAL RING THAT GENERATES A SPECIAL ATOM.pdf
Document Type : [PAK] Cek Similarity
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Dokumen-Pendukung-A PRIME ESSENTIAL RING THAT GENERATES A SPECIAL ATOM.pdf
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Scimago-Bulletin of the Australian Mathematical Society.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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BUKTI KORESPONDENSI-Bull-Australian-Math-Society-FINAL_compressed.pdf
Document Type : [PAK] Bukti Korespondensi Penulis
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