TY - GEN AU - Ara, Pere AU - Goodearl, K.R. AU - Nielsen, Pace AU - Pardo Espino, Enrique AU - Perera, Francesc A4 - Matemáticas PY - 2024 UR - http://hdl.handle.net/10498/31474 AB - We provide two new formulations of the separativity problem. First, it is known that separativity (and strong separativity) in von Neumann regular (and exchange) rings is tightly connected to unit-regularity of certain kinds of elements. By refining... LA - eng PB - arXiv KW - diagonally reduce KW - exchange rings KW - inner inverses KW - regular rings KW - separativity TI - The separativity problem in terms of varieties and diagonal reduction ER -