AI 中文总结
研究构建具有对偶性范畴的维特群的 8 周期链复形,采用范畴方法,在范畴为阿贝尔且阿廷时证明所得序列正合。
AI 中文摘要
提出了一种范畴方法来构建具有对偶性的范畴的维特群的 8 周期链复形。在范畴是阿贝尔且阿廷的假设下,证明了所得序列的正合性。
英文摘要
A categorical approach is proposed for the construction of 8-periodic chain complexes of Witt groups of categories with duality. Exactness of the resulting sequences is proved under the hypothesis that the categories are abelian and artinian or when the endomorphism algebra of each object is semilocal and rad-adically complete.
CommentsThe first author is deceased
Journal refJournal of Algebra 710 (2027) 447-487
DOI:10.1016/j.jalgebra.2026.06.024