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1.
Let R be a commutative ring with \(1\ne 0\) and the additive group \(R^+\). Several graphs on R have been introduced by many authors, among zero-divisor graph \(\Gamma _1(R)\), co-maximal graph \(\Gamma _2(R)\), annihilator graph AG(R), total graph \( T(\Gamma (R))\), cozero-divisors graph \(\Gamma _\mathrm{c}(R)\), equivalence classes graph \(\Gamma _\mathrm{E}(R)\) and the Cayley graph \(\mathrm{Cay}(R^+ ,Z^*(R))\). Shekarriz et al. (J. Commun. Algebra, 40 (2012) 2798–2807) gave some conditions under which total graph is isomorphic to \(\mathrm{Cay}(R^+ ,Z^*(R))\). Badawi (J. Commun. Algebra, 42 (2014) 108–121) showed that when R is a reduced ring, the annihilator graph is identical to the zero-divisor graph if and only if R has exactly two minimal prime ideals. The purpose of this paper is comparison of graphs associated to a commutative Artinian ring. Among the results, we prove that for a commutative finite ring R with \(|\mathrm{Max}(R)|=n \ge 3\), \( \Gamma _1(R) \simeq \Gamma _2(R)\) if and only if \(R\simeq \mathbb {Z}^n_2\); if and only if \(\Gamma _1(R) \simeq \Gamma _\mathrm{E}(R)\). Also the annihilator graph is identical to the cozero-divisor graph if and only if R is a Frobenius ring. 相似文献
2.
Mahmood Alaghmandan Yemon Choi Ebrahim Samei 《Journal of Mathematical Analysis and Applications》2014
Let G be a restricted direct product of finite groups {Gi}i∈I, and let Z?1(G) denote the centre of its group algebra. We show that Z?1(G) is amenable if and only if Gi is abelian for all but finitely many i , and characterize the maximal ideals of Z?1(G) which have bounded approximate identities. We also study when an algebra character of Z?1(G) belongs to c0 or ?p and provide a variety of examples. 相似文献
3.
Mohammad Esmael Samei Wengui Yang 《Mathematical Methods in the Applied Sciences》2020,43(7):4360-4382
We prove the existence and uniqueness of solutions for a -dimensional system of multi-term fractional -integro-differential equations via anti-periodic boundary conditions by using some well-known tools of fixed point technique such as Arzelà–Ascoli theorem. We firstly give the corresponding Green function for the boundary value problem and some of its attributes. In addition to, we give a numeric method to verify the analysis for checking the existence of a solution of the system. Finally, an interesting example is presented to illustrate the results. 相似文献
4.
Approximately Local Derivations 总被引:1,自引:0,他引:1
Certain linear operators from a Banach algebra A into a BanachA-bimodule X, which are called approximately local derivations,are studied. It is shown that when A is a C*-algebra, a Banachalgebra generated by idempotents, a semisimple annihilator Banachalgebra, or the group algebra of a SIN or a totally disconnectedgroup, bounded approximately local derivations from A into Xare derivations. This, in particular, extends a result of B.E. Johnson that local derivations on C*-algebras arederivations and provides an alternative proof of it. 相似文献
5.
Journal of Fourier Analysis and Applications - Let G be a discrete group, let $$p\ge 1$$, and let $$\omega $$ be a weight on G. Using the approach from Gröchenig and Klotz (J Lond Math Soc (2)... 相似文献
6.
Ebrahim Samei 《Journal of Mathematical Analysis and Applications》2008,346(2):451-467
Let be a Beurling algebra on a locally compact abelian group G. We look for general conditions on the weight which allows the vanishing of continuous derivations of . This leads us to introducing vector-valued Beurling algebras and considering the translation of operators on them. This is then used to connect the augmentation ideal to the behavior of the derivation space. We apply these results to give examples of various classes of Beurling algebras which are weakly amenable, 2-weakly amenable or fail to be even 2-weakly amenable. 相似文献
7.
Bounded and completely bounded local derivations from certain commutative semisimple Banach algebras
Ebrahim Samei 《Proceedings of the American Mathematical Society》2005,133(1):229-238
We show that for a locally compact group , every completely bounded local derivation from the Fourier algebra into a symmetric operator -module or the operator dual of an essential -bimodule is a derivation. Moreover, for amenable we show that the result is true for all operator -bimodules. In particular, we derive a new proof to a result of N. Spronk that is always operator weakly amenable.
8.
M. B. Abdel Samei M. A. Elshafie M. Hanna J. Csikai M. Juhász 《Journal of Radioanalytical and Nuclear Chemistry》1986,103(2):81-85
The protein content of various corn-meals /rice, lupine, sorghum, pumpkin, linseed, water melon, tomato/ collected from Egypt and the USA have been determined by 14 MeV neutron activation analysis via14N/n, 2n/13N reaction. Non-conventional sources like tea and coffee residues were also investigated. The concentrations of trace elements determined by the X-ray fluorescence technique show definite differences even for a given type of seed produced in different geographical regions. 相似文献
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10.
Mishra Shashi Kant Samei Mohammad Esmael Chakraborty Suvra Kanti Ram Bhagwat 《Nonlinear dynamics》2021,104(3):2471-2496
Nonlinear Dynamics - In this paper, we propose a modified q-Dai–Yuan (q-DY) conjugate gradient algorithm based on q-gradient for solving unconstrained optimization problems. The q-gradient is... 相似文献