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For example, X 1 X 2 does not equal X 2 X 1. More generally, one can construct the free algebra R E on any set E of generators. Since rings may be regarded as Z-algebras, a free ring on E can be defined as the free algebra Z E . Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional ...
The scope of algebra thus grew to include the study of algebraic structures. This object of algebra was called modern algebra or abstract algebra, as established by the influence and works of Emmy Noether. [36] Some types of algebraic structures have useful and often fundamental properties, in many areas of mathematics.
The Sri Lankan Ordinary Level (O-level) formerly called Senior School Certificate (SSC), is a General Certificate of Education (GCE) qualification in Sri Lanka, conducted by the Department of Examinations of the Ministry of Education. It is based on the Cambridge University Ordinary Level qualification.
[2] According to a 2010 study by Child and Adolescent Psychiatry and Mental Health, symptoms of anxiety and depression were more common among students in GCE Advanced Level classes compared to other grades. Students in Grade 13 had the second-highest depression and anxiety scores, with examination-related issues being the most commonly cited ...
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