A general acyclicity lemma and its uses
Jan R. Strooker (1990)
Banach Center Publications
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Jan R. Strooker (1990)
Banach Center Publications
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J. Paseka (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Wang, Yongduo, Ding, Nanqing (2006)
International Journal of Mathematics and Mathematical Sciences
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Wang, Yongduo (2007)
International Journal of Mathematics and Mathematical Sciences
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Siamak Yassemi (2001)
Archivum Mathematicum
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In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.
Wang, Yongduo, Sun, Qing (2007)
International Journal of Mathematics and Mathematical Sciences
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Wang, Yongduo (2005)
International Journal of Mathematics and Mathematical Sciences
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Jim Hoste, Józef H. Przytycki (1995)
Mathematische Zeitschrift
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Nagasato, Fumikazu (2004)
Lobachevskii Journal of Mathematics
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Kazuhisa Nakasho, Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama (2014)
Formalized Mathematics
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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...
Massoud Amini (2015)
Open Mathematics
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We define the concept of module Connes amenability for dual Banach algebras which are also Banach modules with a compatible action. We distinguish a closed subhypergroup K0 of a locally compact measured hypergroup K, and show that, under different actions, amenability of K, M.K0/-module Connes amenability of M.K/, and existence of a normal M.K0/-module virtual diagonal are related.