TY - GEN AU - Lobillo Borrero, Francisco Javier AU - Santonastaso, Paolo AU - Sheekey, John PY - 2025 UR - https://hdl.handle.net/10481/108623 AB - We achieve new results on skew polynomial rings and their quotients, including the first explicit example of a skew polynomial ring where the ratio of the degree of a skew polynomial to the degree of its bound is not extremal. These methods lead to... LA - eng PB - Elsevier KW - Skew polynomial rings KW - Division algebra KW - Semifield TI - Quotients of skew polynomial rings: new constructions of division algebras and MRD codes DO - 10.1016/j.jalgebra.2025.11.024 ER -