Geodesic
TWISTING OPERATORS, TWISTED TENSOR PRODUCTS AND SMASH PRODUCTS FOR HOM-ASSOCIATIVE ALGEBRAS
Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 513-538

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DOI

The purpose of this paper is to provide new constructions of Hom-associative algebras using Hom-analogues of certain operators called twistors and pseudotwistors, by deforming a given Hom-associative multiplication into a new Hom-associative multiplication. As examples, we introduce Hom-analogues of the twisted tensor product and smash product. Furthermore, we show that the construction by the twisting principle introduced by Yau and the twisting of associative algebras using pseudotwistors admit a common generalization. 
MAKHLOUF, ABDENACER; PANAITE, FLORIN. TWISTING OPERATORS, TWISTED TENSOR PRODUCTS AND SMASH PRODUCTS FOR HOM-ASSOCIATIVE ALGEBRAS. Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 513-538. doi: 10.1017/S0017089515000294
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     author = {MAKHLOUF, ABDENACER and PANAITE, FLORIN},
     title = {TWISTING {OPERATORS,} {TWISTED} {TENSOR} {PRODUCTS} {AND} {SMASH} {PRODUCTS} {FOR} {HOM-ASSOCIATIVE} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {513--538},
     year = {2016},
     volume = {58},
     number = {3},
     doi = {10.1017/S0017089515000294},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000294/}
}
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