We study groupoids satisfying the identities x • xy = y and x • yz = xy • xz.Particularly, we focus our attention at subdirectly irreducible ones, find a description and charecterize small ones.
Keywords:
Mathematics Idempotence Distributive property Pure mathematics Left and right Algebra over a field
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Topics
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Fuzzy and Soft Set Theory
Social Sciences → Decision Sciences → Management Science and Operations Research
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory