TY - JOUR ID - 118918 TI - Strong algebrability of C^* algebras JO - Annals of Optimization Theory and Practice JA - AOTP LA - en SN - 2588-3666 AU - Sharafi, Javad AD - University of Imam Ali Y1 - 2020 PY - 2020 VL - 3 IS - 1 SP - 15 EP - 24 KW - C^* algebras KW - Subalgebra KW - Strong algebrability DO - 10.22121/aotp.2020.230247.1029 N2 - In this paper, we introduce the concept strong algebrability of certain C^* algebras generated by finite generators. In fact, using Gelfand theorem, we identify the members of the C^* algebra generated by one element, with the continuous functions on its spectrum, and use some recent result for strong algebrability for functions spaces. Moreover, we introduce the new concept unitable elements in unital C^* algebras, and then we express our main result for this kind of elements. In fact, the C^* subalgebra generated by a non unitable element in a C^* algebra is strongly c algebrable. As the last result in this paper, we show 2^c strong algebrability of direct sums of C^* algebras, using non unitable elements of them. UR - https://aotp.fabad-ihe.ac.ir/article_118918.html L1 - https://aotp.fabad-ihe.ac.ir/article_118918_8ae966989526ff6db6c69d6850e3bd53.pdf ER -