Zariski topologies for coprime and second submodules
J Abuhlail - Algebra Colloquium, 2015 - World Scientific
Let M be a non-zero module over an associative (not necessarily commutative) ring. In this
paper, we investigate the so-called second and coprime submodules of M. Moreover, we …
paper, we investigate the so-called second and coprime submodules of M. Moreover, we …
A Zariski topology for modules
J Abuhlail - Communications in Algebra, 2011 - Taylor & Francis
Given a duo module M over an associative (not necessarily commutative) ring R, a Zariski
topology is defined on the spectrum Specfp (M) of fully prime R-submodules of M. We …
topology is defined on the spectrum Specfp (M) of fully prime R-submodules of M. We …
Submodules of direct sums of compressible modules
PF Smith, MR Vedadi - Communications in Algebra, 2008 - Taylor & Francis
Let R be a ring. A right R-module M is called “essentially compressible” if it embeds in each
of its essential submodules. Also a module XR is called “completely essentially …
of its essential submodules. Also a module XR is called “completely essentially …
On endomorphisms of multiplication and comultiplication modules
H Ansari-Toroghy, F Farshadifar - Archivum Mathematicum, 2008 - eudml.org
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On the notion of strong irreducibility and its dual
J Abuhlail, C Lomp - Journal of Algebra and its Applications, 2013 - World Scientific
This note gives a unifying characterization and exposition of strongly irreducible elements
and their duals in lattices. The interest in the study of strong irreducibility stems from …
and their duals in lattices. The interest in the study of strong irreducibility stems from …
Fully coprime comodules and fully coprime corings
JY Abuhlail - Applied Categorical Structures, 2006 - Springer
Prime objects were defined as generalization of simple objects in the categories of rings
(modules). In this paper we introduce and investigate what turns out to be a suitable …
(modules). In this paper we introduce and investigate what turns out to be a suitable …
Some Results of Fully Prime Submodules
DD Tai - Lobachevskii Journal of Mathematics, 2022 - Springer
A fully invariant submodule of is called fully prime in if for fully invariant submodules and of,
implies or with. In this paper, we give some characterizations of fully prime submodules. We …
implies or with. In this paper, we give some characterizations of fully prime submodules. We …
[PDF][PDF] Fully Idempotent and multiplication modules
NO Ertas - Palestine Journal of Mathematics, 2014 - pjm.ppu.edu
A submodule N of M is idempotent if N= N⋆ N= Hom (M, N) N. In this paper we give some
properties of idempotent submodules. Relations between the multiplication, pure, and …
properties of idempotent submodules. Relations between the multiplication, pure, and …
A characterization of modules embedding in products of primes and enveloping condition for their class
N Dehghani, MR Vedadi - Journal of Algebra and Its Applications, 2015 - World Scientific
Modules (cogenerated by nonzero their submodules) having nonzero square
homomorphism in nonzero submodules are said (prime) weakly compressible (wc). Such …
homomorphism in nonzero submodules are said (prime) weakly compressible (wc). Such …
Учредители: Институт математики им. СЛ Соболева СО РАН eISSN: 1813-3304
PI PLOTNIKOV, J SOKOLOWSKI - SIBERIAN ELECTRONIC …, 2023 - elibrary.ru
The identification problem of an inclusion is considered in the paper. The inclusion is
unknown subdomain of a given physical region. The available information on the inclusion …
unknown subdomain of a given physical region. The available information on the inclusion …