(i) no death benefit shall be payable pursuant to section five hundred twelve of this article or section four hundred forty-eight, five hundred eight or six hundred six of the retirement and social security law, as applicable in the event of the member's subsequent death, and
(ii) unless such member shall have rendered five years of credited service since last becoming a member of the system, any retirement benefit to which such member may thereafter become entitled shall be reduced by the actuarial value of the benefit paid pursuant to paragraph a of this subdivision (less the actuarial value of any applicable post-retirement death benefit which would have been available, but for this paragraph). e. The retirement board is authorized to adopt such rules and regulations as it may deem necessary to implement the provisions of this subdivision.