2-group symmetries are generalized that arise when 1-form and 0-form mix with each other. We uncover the existence of a class in general 4d N=2 theories Class S can be constructed by compactifying 6d N=(2,0) SCFTs on Riemann surfaces carrying arbitrary regular punctures outer-automorphism twist lines. The structure captured terms equivalence classes line defects plus flavor Wilson lines, which ...

Let R be a commutative ring with identity and let M unitary R-module. In this paper, we introduce the notion of weakly S-2-absorbing submodule. Suppose that S is multiplicatively closed subset R. A submodule P (P:R M)∩S=∅ said to if there exists an element s ∈ such whenever a,b∈R m∈M 0≠abm∈P, then sab∈(P: M) or sam∈P sbm∈P. We give characterizations, properties examples submodules.