Review
ABSTRACT
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.
INTRODUCTION
SYMMETRIC ALGEBRA
RESULT
CONFLICT OF INTERESTS
REFERENCES
Adams JF (1973). Idempotent functors in homotopy theory, Manifolds, Conf. Univ. of Tokyo Press, Tokyo. |
|
Adams JF (1975). Localization and completion, Lecture Notes in Mathematics, Univ. of Chicago. |
|
Behera A, Nanda S (1987). Mod- Postnikov approximation of a 1-connected space, Canad. J. Math. 39(3):527- 543. |
|
Deleanu A, Frei A, Hilton P (1974). Generalized Adams completions, Cahiers de et Geom. Diff. 15(1):61-82. |
|
Deleanu A (1975). Existence of the Adams completion for objects of complete categories. J. Pure Appl. Algebra. 6(1):31-9. |
|
Grinberg D (2013). A few classical results on tensor, symmetric and exterior powers. |
|
Murfet D (2006). Tensor, Exterior and symmetric algebra. |
|
Schubert H (1972). Categories, Springer Verlag, New York. |
Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0