On products in algebraic $K$-theory of crossed Hopf algebras
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 177 (2020), pp. 111-120

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Some multiplication is constructed for algebraic $K$-functors of the crossed products of a commutative algebra and a Hopf cocommutative algebra; the question on these functors to be Frobenius functors with respect to the constructed multiplication is studied.
Keywords: algebraic $K$-theory, Hopf algebras, $K$-functors, crossed products, Frobenius functors.
@article{INTO_2020_177_a12,
     author = {G. G. Rakviashvili},
     title = {On products in algebraic $K$-theory of crossed {Hopf} algebras},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {111--120},
     publisher = {mathdoc},
     volume = {177},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_177_a12/}
}
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G. G. Rakviashvili. On products in algebraic $K$-theory of crossed Hopf algebras. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 177 (2020), pp. 111-120. http://geodesic.mathdoc.fr/item/INTO_2020_177_a12/