Group-like Small Cancellation Theory for Rings
نویسندگان
چکیده
In the present paper we develop a small cancellation theory for associative algebras with basis of invertible elements. Namely, study quotients group algebra free and introduce three axioms corresponding defining relations. We show that obtained ring is non-trivial. Moreover, this enjoys global filtration agrees relations, find as vector space establish structure theorems. also provide revision concept Gr\"{o}bner our rings greedy algorithm Ideal Membership Problem.
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2023
ISSN: ['0218-1967', '1793-6500']
DOI: https://doi.org/10.1142/s0218196723500522