Test elements of direct sums and free products of free Lie algebras

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Atıf İçin Kopyala

Eskal C., EKİCİ N.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.126, sa.1, ss.43-48, 2016 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 126 Sayı: 1
• Basım Tarihi: 2016
• Doi Numarası: 10.1007/s12044-015-0259-y
• Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.43-48
• Çukurova Üniversitesi Adresli: Evet

Özet

We give a characterization of test elements of a direct sum of free Lie algebras in terms of test elements of the factors. In addition, we construct certain types of test elements and we prove that in a free product of free Lie algebras, product of the homogeneous test elements of the factors is also a test element.