Displaying similar documents to “A general acyclicity lemma and its uses”

Generalized lifting modules.

Wang, Yongduo, Ding, Nanqing (2006)

International Journal of Mathematics and Mathematical Sciences

Similarity:

The dual notion of prime submodules

Siamak Yassemi (2001)

Archivum Mathematicum

Similarity:

In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.

Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module

Kazuhisa Nakasho, Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama (2014)

Formalized Mathematics

Similarity:

In this article, we formalize some basic facts of Z-module. In the first section, we discuss the rank of submodule of Z-module and its properties. Especially, we formally prove that the rank of any Z-module is equal to or more than that of its submodules, and vice versa, and that there exists a submodule with any given rank that satisfies the above condition. In the next section, we mention basic facts of linear transformations between two Z-modules. In this section, we define homomorphism...