Abstract

In this paper we give the explicit construction of a pro-C completion functor which is defined in the category of crossed squares of commutative algebras. Afterwards, we study some functorial properties of this pro-C completion process.

Highlights

  • In this paper we give the explicit construction of a pro-C completion functor which is de...ned in the category of crossed squares of commutative algebras

  • Afterwards, we study some functorial properties of this pro-C completion process

  • A pro...nite group [9] occurs in a wide range of problems related to number theory, commutative algebra, algebraic geometry and algebraic topology

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Summary

Introduction

A pro...nite group [9] occurs in a wide range of problems related to number theory, commutative algebra, algebraic geometry and algebraic topology. In this paper we give the explicit construction of a pro-C completion functor which is de...ned in the category of crossed squares of commutative algebras.

Results
Conclusion

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