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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
Document
No Title Document Type Action
1 4-JIMS.pdf
Document Type : [PAK] Halaman Cover
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2 Hasil Akreditasi Terbitan Berkala Ilmiah Cetak Periode I Tahun 2013 (1) (1).pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian) View
3 Dokumen-Lengkap-On Free Ideals in Free Algebras over A Commutative Ring.pdf
Document Type : [PAK] Full Dokumen
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4 WoS-On Free Ideals in Free Algebras over A Commutative Ring.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian) View
5 On Free Ideals in Free Algebras over A Commutative Ring.pdf
Document Type : [PAK] Full Dokumen
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