20.500.12556/RUL-142109 On existence of PI-exponent of algebras with involution We study polynomial identities of algebras with involution of nonassociative algebras over a field of characteristic zero. We prove that the growth of the sequence of *-codimensions of a finite-dimensional algebra is exponentially bounded. We construct a series of finite-dimensional algebras with fractional -PI-exponent. We also construct a family of infinite-dimensional algebras $C_\alpha$ such that $\exp^\ast (C_\alpha)$ does not exist. polynomial identity nonassociative algebra involution exponential growth exponentially bounded *-codimension fractional *-PI-exponent Amitsur's conjecture numerical invariant true false true Angleški jezik Ni določen Članek v reviji 2022-10-20 13:54:05 2022-10-20 13:54:07 2023-05-18 13:40:08 0000-00-00 00:00:00 2023 0 0 Str. 5-19 Vol. 614 Jan. 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.554.3 0021-8693 10.1016/j.jalgebra.2022.09.013 126194179 RAZ_Repovs_Dusan_2023.pdf RAZ_Repovs_Dusan_2023.pdf 1 E9CCFCCA99B67A5459A3F9E34C29A795 5c4c6177d70087b341f5e0db9832a5f055b2e6a8b73895d58fcccba50fd16cec 13800d67-506f-11ed-9c94-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=163381 https://www.sciencedirect.com/science/article/pii/S0021869322004616 0 be167ba0-95a6-11ed-9c94-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=165901 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0