Approximate Hagemann-Mitschke Co-operations

作者：Rodelo Diana; Van der Linden Tim^*

来源：Applied Categorical Structures, 2014, 22(5-6): 1009-1020.

DOI：10.1007/s10485-013-9359-y

• Mal%26apos
• tsev category
• n-permutable category
• Binary coproduct
• Approximate co-operation

We show that varietal techniques based on the existence of operations of a certain arity can be extended to n-permutable categories with binary coproducts. This is achieved via what we call approximate Hagemann-Mitschke co-operations, a generalisation of the notion of approximate Mal%26apos;tsev co-operation [2]. In particular, we extend characterisation theorems for n-permutable varieties due to J. Hagemann and A. Mitschke [8, 9] to regular categories with binary coproducts.

• 出版日期2014-10