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Displaying similar documents to “On the endomorphism ring of a semi-injective module.”

On P-extending modules.

Kamal, M.A., Elmnophy, O.A. (2005)

Acta Mathematica Universitatis Comenianae. New Series

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On endomorphisms of multiplication and comultiplication modules

H. Ansari-Toroghy, F. Farshadifar (2008)

Archivum Mathematicum

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Let R be a ring with an identity (not necessarily commutative) and let M be a left R -module. This paper deals with multiplication and comultiplication left R -modules M having right End R ( M ) -module structures.

Z-modules

Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama (2012)

Formalized Mathematics

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In this article, we formalize Z-module, that is a module over integer ring. Z-module is necassary for lattice problems, LLL (Lenstra-Lenstra-Lovász) base reduction algorithm and cryptographic systems with lattices [11].

Quotient Module of Z-module

Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama (2012)

Formalized Mathematics

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In this article we formalize a quotient module of Z-module and a vector space constructed by the quotient module. We formally prove that for a Z-module V and a prime number p, a quotient module V/pV has the structure of a vector space over Fp. Z-module is necessary for lattice problems, LLL (Lenstra, Lenstra and Lov´asz) base reduction algorithm and cryptographic systems with lattices [14]. Some theorems in this article are described by translating theorems in [20] and [19] into theorems...

Ikeda-Nakayama modules.

Wisbauer, Robert, Yousif, Mohamed F., Zhou, Yiqiang (2002)

Beiträge zur Algebra und Geometrie

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