On the arithmetic of the endomorphisms ring $${{\rm End}(\mathbb{Z}_{p} \times \mathbb{Z}

On the arithmetic of the endomorphisms ring $${{\rm End}(\mathbb{Z}_{p} \times \mathbb{Z}_{p^{2}})}$$

Published:2011-02-12 Issue:2 Volume:22 Page:91-108
ISSN:0938-1279
Container-title:Applicable Algebra in Engineering, Communication and Computing
language:en
Short-container-title:AAECC

Author:

Climent Joan-Josep,Navarro Pedro R.,Tortosa Leandro

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s00200-011-0138-4.pdf

Reference12 articles.

1. Anshel I., Anshel M., Goldfeld D.: An algebraic method for public-key cryptography. Math. Res. Lett. 6, 1–5 (1999)

2. Bergman G.M.: examples in PI ring theory. Israel J. Math. 18, 257–277 (1974)

3. Boneh D., Lipton R.J.: Quantum cryptanalysis of hidden linear functions. In: Coppersmith, D. (eds) Advances in Cryptology—CRYPT0 ’95 volume 963 Lecture Notes in Computer Science, pp. 424–437. Springer, Berlin (1995)

4. Ko K.H., Lee S.J., Cheon J.H., Han J.W., Kang J.-s., Park C.: New public-key cryptosystem using braid groups. In: Bellare, M. Advances in Cryptology—CRYPTO 2000 volume 1880 of Lecture Notes in Computer Science, pp. 166–183. Springer, Berlin (2000)

5. Lam T.-Y.: A First Curs in Noncommutative Rings Number 131 in Graduate Texts in Mathematics. Springer, New York, NY (2001)

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