A Unified Approach to the Decomposition Theorems in Baer $$*$$-Rings
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DOI: 10.1007/s00025-021-01415-4
Abstract: The aim of the paper is to generalize decomposition theorems showed in Bagheri-Bardi et al. (Linear Algebra Appl 583:102–118, 2019; Linear Algebra Appl 539:117–133, 2018) by a unified approach. We show a general decomposition theorem… read more here.
Keywords: decomposition theorems; decomposition; approach decomposition; unified approach ... See more keywords
Decomposition Theorems for Involutive Solutions to the Yang–Baxter Equation
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DOI: 10.1093/imrn/rnab232
Abstract: Motivated by the proof of Rump of a conjecture of Gateva–Ivanova on the decomposability of square-free solutions to the Yang–Baxter equation, we present several other decomposability theorems based on the cycle structure of a certain… read more here.
Keywords: decomposition theorems; solutions yang; baxter equation; yang baxter ... See more keywords