Results 31 to 40 of about 16,962 (297)
Truly Random Degradable Vinyl Copolymers via Photocontrolled Radical Ring-Opening Cascade Copolymerization [PDF]
, 2021 Degradable vinyl polymers by radical ring-opening polymerization have become a promising solution to the challenges caused by the widespread use of non-degradable vinyl plastics.
Fredrik, Haeffner +6 more
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On some properties of polynomials rings
International Journal of Mathematics and Mathematical Sciences, 1987 For a commutative ring with unity R, it is proved that R is a PF-ring if and only if the annihilator, annR(a), for each a ϵ R is a pure ideal in R, Also it is proved that the polynomial ring, R[X], is a PF-ring if and only if R is a PF-ring.
H. Al-Ezeh
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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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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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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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, 2010 R is a commutative ring with unity. The associate ring graph AG(R) is the graph with the vertex set V = R • {0} and edge set E = {(a, b) / a, b are associates and a ≠ b}.
Subhakar, M. James
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Unity Product Graph of Some Commutative Rings
, 2021 A graph is an instrument which is extensively utilized to model various problems in different fields. Up to date, many graphs have been developed to represent algebraic structures, particularly rings in order to study their properties. In this article, by focusing on commutative ring $ R $, we introduce a new notion of unity product graph associated ...
Mudaber, Mohammad Hassan +2 more
openaire +2 more sources
Generalized invertibility in a corner ring [PDF]
, 2017 Let R be a ring with unity and let a, g ? R be such that a is regular. In this article, the generalized invertibility of ag+ 1 - aa- are investigated in term of the generalized invertibility of elements in a corner ring. As applications, several
Jianlong Chen, Long Wang
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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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