Maps preserving triple product A∗B + BA∗ on ∗-algebras

2019 ◽  
Vol 12 (03) ◽  
pp. 1950038
Author(s):  
Ali Taghavi ◽  
Mehran Razeghi ◽  
Mojtaba Nouri ◽  
Vahid Darvish
Keyword(s):  
Triple Product ◽  
Linear Isomorphism

Let [Formula: see text] and [Formula: see text] be two prime ∗-algebras. Let [Formula: see text] be a bijective and satisfies [Formula: see text] for all [Formula: see text] where [Formula: see text]. Then, [Formula: see text] is additive. Moreover, if [Formula: see text] is idempotent then we show that [Formula: see text] is [Formula: see text]-linear ∗-isomorphism.

Structure determination of the new tetracyclic diterpene ingenol-triacetate with triple product methods

1970 ◽  
Vol 11 (47) ◽  
pp. 4075-4078 ◽  
Author(s):  
K. Zechmeister ◽  
F. Brandl ◽  
W. Hoppe ◽  
E. Hecker ◽  
H.J. Opferkuch ◽  
...  
Keyword(s):  
Structure Determination ◽  
Triple Product

scholarly journals New polynomial analogues of Jacobi's triple product and Lebesgue's identities

2004 ◽  
Vol 32 (4) ◽  
pp. 801-824 ◽  
Author(s):  
Krishnaswami Alladi ◽  
Alexander Berkovich
Keyword(s):  
Triple Product

Cu GB Diffusion in Al. Effect of Alloying by Cu and Ce

2011 ◽  
Vol 309-310 ◽  
pp. 73-78 ◽  
Author(s):  
Alexey Rodin ◽  
Nikolai Dolgopolov ◽  
Andrei Simanov ◽  
Alla Zaytseva
Keyword(s):  
Grain Boundaries ◽  
Energy Difference ◽  
Triple Product ◽  
Effect Of Alloying

The diffusion of Cu in Al and Al based alloys was studied. It was shown the great scattering of triple product values, measured for different grain boundaries (GB) at the same samples. It was discussed in the terms of GB energy difference. It was also shown that GB triple product can be varied significantly by preliminary alloying of Al by 0.1% Cu. However, the alloying of Al by 0.5% Cu leads to disappearing of the effect of accelerated diffusion in GB in comparison with the bulk.

On Yangian covariance of the triple product system with the rational R-matrix

2015 ◽  
Vol 56 (8) ◽  
pp. 083506 ◽  
Author(s):  
Xiao-Yu Jia ◽  
Shao-Kui Yao ◽  
Ke Wu ◽  
Wei-Zhong Zhao
Keyword(s):  
Triple Product ◽  
Product System ◽  
R Matrix

scholarly journals Truncated Series with Nonnegative Coefficients from the Jacobi Triple Product

2022 ◽  
Vol Volume 44 - Special... ◽  
Author(s):  
Liuquan Wang
Keyword(s):  
Analogous Result ◽  
Triple Product ◽  
Combinatorial Proof ◽  
Jacobi’S Triple Product Identity ◽  
Product Identity ◽  
Pentagonal Number Theorem ◽  
Nonnegative Coefficients ◽  
Jacobi's Triple Product Identity

Andrews and Merca investigated a truncated version of Euler's pentagonal number theorem and showed that the coefficients of the truncated series are nonnegative. They also considered the truncated series arising from Jacobi's triple product identity, and they conjectured that its coefficients are nonnegative. This conjecture was posed by Guo and Zeng independently and confirmed by Mao and Yee using different approaches. In this paper, we provide a new combinatorial proof of their nonnegativity result related to Euler's pentagonal number theorem. Meanwhile, we find an analogous result for a truncated series arising from Jacobi's triple product identity in a different manner.

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