Adams completion and symmetric algebra | Zendy

M. Routaray | Zendy; A. Behera | Zendy

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Adams completion and symmetric algebra

Author(s) -

M. Routaray,

A. Behera

Publication year - 2017

Publication title -

african journal of mathematics and computer science research

Language(s) - English

Resource type - Journals

ISSN - 2006-9731

DOI - 10.5897/ajmcsr2015.0625

Subject(s) - mathematics , algebra over a field , morphism , symmetric algebra , context (archaeology) , filtered algebra , set (abstract data type) , categorical variable , cellular algebra , pure mathematics , algebra representation , computer science , paleontology , biology , statistics , programming language

Deleanu, Frei and Hilton have developed the notion of generalized Adams completion in a categorical context. In this paper, the symmetric algebra of a given algebra is shown to be the Adams completion of the algebra by considering a suitable set of morphisms in a suitable category. Key words: Category of fraction, calculus of left fraction, symmetric algebra, tensor algebra, Adams completion.

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