Abstract: Direct limit and inverse limit are the methods producing new algebra in universal algebra.In order to further study the production of the new algebra, authors define the family of duplicate set and duplicate limit,discuss the algebraic duplicate
Abstract: Direct limit and inverse limit are the methods producing new algebra in universal algebra.In order to further study the production of the new algebra, authors define the family of duplicate set and duplicate limit,discuss the algebraic duplicate
文摘:直极限和逆极限是泛代数中生成新代数的方法，为了进一步研究新代数的生成，笔者给出了重集族和重极限的定义，讨论了代数的重极限；其次研究了二重直集族和二重直极限及相应性质，讨论了二重直代数族和二重直代数族的极限.