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In this article we establish exponential moment bounds, moment bounds infractional order smoothness spaces, a uniform H\"older continuity in time, andstrong convergence rates for a class of fully discrete exponential Euler-typenumerical approximations of infinite dimensional stochastic convolutionprocesses. The considered approximations involve specific taming and truncationterms and are therefore well suited to be used in the context of SPDEs withnon-globally Lipschitz continuous nonlinearities.

Exponential moment bounds and strong convergence rates for tamed-truncated numerical approximations of stochastic convolutions