Arithmetic properties of l-regular partitions and l-regular bipartitions

For any positive integer l, let \(b_l(n)\) $b_l(n)$ and \(B_l(n)\) $B_l(n)$ represent the number of l-regular partitions and l-regular bipartitions respectively. By employing q-identities, we prove new congruences for \(b_{11}(n)\) $b_{11}(n)$ , \(b_{19}(n)\) $b_{19}(n)$ , \(b_{55}(n)\) $b_{55}(n)$ , \(B_{11}(n)\) $B_{11}(n)$ and \(B_{13}(n)\) $B_{13}(n)$ .