ACADSTAFF UGM
| Title | : | RADICAL RELATED TO SPECIAL ATOMS REVISITED |
| Author | : |
Halina France Jackson (1) Prof. Dr. Sri Wahyuni, S.U. (2) Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (3) |
| Date | : | 0 2015 |
| Keyword | : | ?-ring, extraspecial radical, prime radical, essential ideal, essential cover, special class, special and supernilpotent radicals, N-radicals complemented radicals, special atoms. ?-ring, extraspecial radical, prime radical, essential ideal, essential cover, special class, special and supernilpotent radicals, N-radicals complemented radicals, special atoms. |
| 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. |
| Group of Knowledge | : | Matematika |
| Original Language | : | English |
| Level | : | Internasional |
| Status | : |
Published
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| No | Title | Action |
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| 1 |
DEPAN-baru.pdf
Document Type : [PAK] Halaman Cover
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| 2 |
DAFTAR-ISI-BARU.pdf
Document Type : [PAK] Daftar Isi
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| 3 |
Editorial-BOARD-.pdf
Document Type : [PAK] Halaman Editorial
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| 4 |
Dokumen-Lengkap-Radical.pdf
Document Type : [PAK] Full Dokumen
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| 5 |
Scimago-Bulletin of the Australian Mathematical Society.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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