Results 21 to 30 of about 15,241 (255)
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 Let R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple , semisimple) F- submodules and quotient F- modules are ...
Maysoun A. Hamel, Hatam Y. Khalaf
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Strongly Pure Ideals And Strongly Pure Sub-modules [PDF]
Kirkuk Journal of Science, 2015 Let R be aring with unity , and let M be an unitary R-module . In this work we present strongly pure ideal (submodule) concept as a generalization of pure ideal (submodule) . Also we generalize some properties of strongly pure ideal (submodule) .
Nada Khalid Abdullah
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Archives of Acoustics, 2021 Cylindrical shells made of composite material form one of the major structural parts in aerospace structures. Many of them are acoustically thick, in which the ring frequencies are much higher than their critical frequencies.
S. JOSEPHINE KELVINA FLORENCE, K. RENJI
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On Another Class of Strongly Perfect Graphs
Mathematics, 2022 For a commutative ring R with unity, the associate ring graph, denoted by AG(R), is a simple graph with vertices as nonzero elements of R and two distinct vertices are adjacent if they are associates.
Neha Kansal +3 more
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The unity in rings with Gabriel and Krull dimension [PDF]
Proceedings of the American Mathematical Society, 1976 The main result is that all rings with right Krull dimension and divisible torsion free additive group have a right identity. Furthermore it will be proved that a simple ring with characteristic 0 0 , right Gabriel dimension ⩽ 2 \leqslant 2 and finite right uniform dimension has a unity.
openaire +2 more sources
A note on co-maximal graphs of commutative rings
AKCE International Journal of Graphs and Combinatorics, 2018 Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R .
Deepa Sinha, Anita Kumari Rao
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Two properties of the power series ring
International Journal of Mathematics and Mathematical Sciences, 1988 For a commutative ring with unity, A, it is proved that the power series ring A〚X〛 is a PF-ring if and only if for any two countable subsets S and T of A such that S⫅annA(T), there exists c∈annA(T) such that bc=b for all b∈S.
H. Al-Ezeh
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Exchange PF-rings and almost PP-rings
International Journal of Mathematics and Mathematical Sciences, 1989 Let R be a commutative ring with unity. In this paper, we prove that R is an almost PP–PM–ring if and only if R is an exchange PF–ring. Let X be a completely regular Hausdorff space, and let βX be the Stone Čech compactification of X.
H. Al-Ezeh
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Demonstratio Mathematica, 2021 Let G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1, I be a graded ideal of R, and M be a G-graded R-module. In this article, we introduce the concept of graded I-second submodules of M as a generalization of graded ...
Bataineh Malik, Abu-Dawwas Rashid
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Communication and Language Profiles of Children Treated for Posterior Fossa Brain Tumors
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Cognitive and language deficits are frequently reported sequelae of posterior fossa brain tumors (PFBT). Typically, delayed onset impedes prompt assessment and early intervention. This has devastating implications for quality of life.
Zara Sved +4 more
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