Neb. Rev. Stat. § 21-137: Neb. Rev. Stat. § 21-137

(RULLCA 408) (a) A limited liability company shall reimburse for any payment made and indemnify for any debt, obligation, or other liability incurred by a member of a member-managed company or the manager of a manager-managed company in the course of the member's or manager's activities on behalf of the company, if, in making the payment or incurring the debt, obligation, or other liability, the member or manager complied with the duties stated in sections 21-134 and 21-138 .

(b) A limited liability company may purchase and maintain insurance on behalf of a member or manager of the company against liability asserted against or incurred by the member or manager in that capacity or arising from that status even if, under subsection (f) of section 21-110 , the operating agreement could not eliminate or limit the person's liability to the company for the conduct giving rise to the liability.