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Relevant bibliographies by topics / Involution Mathematics Subject Classifications (2010)

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Academic literature on the topic 'Involution Mathematics Subject Classifications (2010)'

Author: Grafiati

Published: 7 June 2025

Last updated: 26 June 2025

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Journal articles on the topic "Involution Mathematics Subject Classifications (2010)"

1

Liaqat, Ali, Aslam M., and Ahmed Khan Yaqoub. "On Jordan Ideals of Inverse Semirings with Involution." Indian Journal of Science and Technology 13, no. 4 (2020): 430–38. https://doi.org/10.17485/ijst/2020/v13i04/149311.

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Abstract <strong>Objectives:</strong> The main objective of this article is to introduce *-Jordan ideals of a certain class of semirings called MA-semirings with involution and to investigate some conditions for which the above said ideals contained in the center. <strong>Methods and findings:</strong> We use the Jacobian identities and 2-torsion freeness of MA semirings. In this connection, we establish some important results of ring theory for the class of MA-semirings. <strong>Applications/ improvements:</strong> The commutative property is helpful to study the theory of semirings with ease therefore we find some conditions to impose commutativity in semirings, which are indeed novel idea in the field of semirings. Furthermore, these conditions are used in a most generalized way that these conditions bring the *-Jordan ideals to the center, therefore, it would be the corollary of result that semiring is commutative. <strong>Keywords:</strong> Semirings, *-Semirings, MA-Semirings, *-Jordan Ideals, *-Prime Semirings, Involution Mathematics Subject Classifications (2010): 16Y60, 16W10

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2

Kumar, Ajay. "INVOLUTION AND THE HAAGERUP TENSOR PRODUCT." Proceedings of the Edinburgh Mathematical Society 44, no. 2 (2001): 317–22. http://dx.doi.org/10.1017/s0013091599000772.

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AbstractWe show that the involution $\theta(a\otimes b)=a^*\otimes b^*$ on the Haagerup tensor product $A\otimes_{\mrm{H}}B$ of $C^*$-algebras $A$ and $B$ is an isometry if and only if $A$ and $B$ are commutative. The involutive Banach algebra $A\otimes_{\mrm{H}}A$ arising from the involution $a\otimes b\to b^*\otimes a^*$ is also studied.AMS 2000 Mathematics subject classification: Primary 46L05; 46M05

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3

Džamonja, Mirna. "Representation Theorems for Connected Compact Hausdorff Spaces." Sarajevo Journal of Mathematics 4, no. 1 (2024): 7–21. http://dx.doi.org/10.5644/sjm.04.1.01.

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We present two theorems which can be used to represent compact connected Hausdorff spaces in an algebraic context, using a Stone-like representation. The first theorem stems from the work of Wallman and shows that every distributive disjunctive normal lattice is the lattice of closed sets in a unique up to homeomorphism connected compact Hausdorff space. The second theorem stems from the work of Jung and Sünderhauf. Introducing the notion of strong proximity involution lattices, it shows that every such lattice can be uniquely represented as the lattice of pairs of compact and open sets of connected compact Hausdorff space. As a consequence we easily obtain a somewhat surprising theorem birepresenting distributive disjunctive normal lattices and strong proximity involution lattices. 2000 Mathematics Subject Classification. Primary: 06D05, 54H10; Secondary: 68R99

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4

AL-Wosabi, Abdullah Ghalib H. "On A Class of Locally Convex Involution Algebras." Thamar University Journal of Natural & Applied Sciences 5, no. 5 (2023): 135–43. http://dx.doi.org/10.59167/tujnas.v5i5.1315.

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In this paper we introduced a class of locally convex involution algebras called MBG*-algebras as generalized of GB*-algebras was introduced by Allan. We obtain some results on this class and established a necessary and sufficient conditions for a commutative MGB*-algebra to be symmetric.  Mathematics Subject Classifications: 46A03, 46K05,46H05. 

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5

Castro-González, N., and J. Y. Vélez-Cerrada. "Elements of rings and Banach algebras with related spectral idempotents." Journal of the Australian Mathematical Society 80, no. 3 (2006): 383–96. http://dx.doi.org/10.1017/s1446788700014099.

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AbstractLet aπ denote the spectral idempotent of a generalized Drazin invertible element a of a ring. We characterize elements b such that 1 − (bπ − aπ)2 is invertible. We also apply this result in rings with involution to obtain a characterization of the perturbation of EP elements. In Banach algebras we obtain a characterization in terms of matrix representations and derive error bounds for the perturbation of the Drazin Inverse. This work extends recent results for matrices given by the same authors to the setting of rings and Banach algebras. Finally, we characterize generalized Drazin invertible operators A, B ∈ (X) such that pr(Bπ) = pr(Aπ + S), where pr is the natural homomorphism of (X) onto the Calkin algebra and S ∈(X) is given.2000 Mathematics subject classification: primary 16A32, 16A28, 15A09.

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6

Jevtic, Miroljub, and Miroslav Pavlovic. "Lacunary series in mixed norm spaces on the ball and the polydisk." Filomat 24, no. 2 (2010): 101–10. http://dx.doi.org/10.2298/fil1002101j.

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7

Dost, Şenol, Lawrence Brown та Rıza Ertürk. "β-open and β-closed sets in ditopological texture spaces". Filomat 24, № 2 (2010): 11–26. http://dx.doi.org/10.2298/fil1002011d.

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The authors define ?-open and ?-closed sets in a ditopological texture space and go on to study ?-compactness and ?-cocompactness, ?-stability and ?-costability, and ?-dicompactness. 2010 Mathematics Subject Classifications. 54A05, 54C10. .

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8

Devi, R., A. Selvakumar та M. Vigneshwaran. "(I , γ)-generalized semi-closed sets in topological spaces". Filomat 24, № 1 (2010): 97–100. http://dx.doi.org/10.2298/fil1001097d.

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In this paper we introduce (I , ?)-generalized semi-closed sets in topological spaces and also introduce ?S - TI-spaces and investigate some of their properties. 2010 Mathematics Subject Classifications. 54B05, 54C08, 54D05. .

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9

Chu, Wenchang, and Ying You. "Binomial symmetries inspired by Bruckman's problem." Filomat 24, no. 1 (2010): 41–46. http://dx.doi.org/10.2298/fil1001041c.

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The partial fraction decomposition method is employed to establish two general algebraic identities, which contain consequently several binomial identities and their q-analogues as special cases. 2010 Mathematics Subject Classifications. Primary 05A10; Secondary 05A30. .

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10

Özarslan, Ali, and Oktay Duman. "Global approximation properties of modified SMK operators." Filomat 24, no. 1 (2010): 47–61. http://dx.doi.org/10.2298/fil1001047o.

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In this paper, introducing a general modification of the classical Sz?sz-Mirakjan-Kantorovich (SMK) operators, we study their global approximation behavior. Some special cases are also presented. 2010 Mathematics Subject Classifications. 41A25, 41A36. .

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