Cancellation of Morita and Skew Types

2020/01/18 by Xin Tang, Tang, Xin, James J. Zhang +3 · 1 citation
Mathematics · #16P99 #16W99 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2001.06709

openalex publication_date 2020/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study both Morita cancellative and skew cancellative properties of noncommutative algebras as initiated recently in several papers and explore that which classes of noncommutative algebras are Morita cancellative (respectively, skew cancellative). Several new results concerning these two types of cancellations, as well as the classical cancellation, are proved.

Cited by

• Cancellation problem via locally nilpotent derivations

Related

• Zariski cancellation problem for non-domain noncommutative algebras
• A survey on Zariski cancellation problems for noncommutative and Poisson algebras
• Zariski Cancellation Problem for Noncommutative Algebras
• Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin,\n and Heinzer
• Cancellation problem via locally nilpotent derivations