Title | : | On Free Ideals in Free Algebras over A Commutative Ring |
Author | : |
KHURUL WARDATI (1) Prof. Dr.rer.nat. Indah Emilia Wijayanti, S.Si., M.Si. (2) Prof. Dr. Sri Wahyuni, S.U. (3) |
Date | : | 0 2015 |
Keyword | : | Free ideal,basic ideal ,minimal basic ideal ,basically semisimple algebra. Free ideal,basic ideal ,minimal basic ideal ,basically semisimple algebra. |
Abstract | : | Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ideal if it is a free R-submodule with the basis contained in the basis of A. The denition of free ideal and basic ideal in the free R-algebra are equivalent. The free ideal notion plays an important role in the proof of some special properties of a basic ideal that can characterize the free R-algebra. For example, a free R-algebra A is basically semisimple if and only if it is a direct sum of minimal basic ideals in A: In this work, we study the properties of basically semisimple free R-algebras. |
Group of Knowledge | : | Matematika |
Original Language | : | English |
Level | : | Nasional |
Status | : |
Published
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4-JIMS.pdf
Document Type : [PAK] Halaman Cover
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Hasil Akreditasi Terbitan Berkala Ilmiah Cetak Periode I Tahun 2013 (1) (1).pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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3 |
Dokumen-Lengkap-On Free Ideals in Free Algebras over A Commutative Ring.pdf
Document Type : [PAK] Full Dokumen
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WoS-On Free Ideals in Free Algebras over A Commutative Ring.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
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5 |
On Free Ideals in Free Algebras over A Commutative Ring.pdf
Document Type : [PAK] Full Dokumen
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