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math.RA2020★ 2 cited
Group-like small cancellation theory for rings
A. Atkarskaya, A. Kanel-Belov, E. Plotkin +1
In the present paper we develop a small cancellation theory for associative algebras with a basis of invertible elements. Namely, we study quotients of a group algebra of a free gr…
math.RA2020★ 3 cited
Small cancelation rings
A. Atkarskaya, A. Kanel-Belov, E. Plotkin +1
The theory of small cancellation groups is well known. In this paper we introduce the notion of Group-like Small Cancellation Ring. This is the main result of the paper. We define…