کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4595973 1336144 2016 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cohomology of finite monogenic self-distributive structures
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Cohomology of finite monogenic self-distributive structures
چکیده انگلیسی

A shelf is a set with a binary operation ▹ satisfying a▹(b▹c)=(a▹b)▹(a▹c)a▹(b▹c)=(a▹b)▹(a▹c). Racks are shelves with invertible translations b↦a▹bb↦a▹b; many of their aspects, including cohomological, are better understood than those of general shelves. Finite monogenic shelves (FMS), of which Laver tables and cyclic racks are the most famous examples, form a remarkably rich family of structures and play an important role in set theory. We compute the cohomology of FMS with arbitrary coefficients. On the way we develop general tools for studying the cohomology of shelves. Moreover, inside any finite shelf we identify a sub-rack which inherits its major characteristics, including the cohomology. For FMS, these sub-racks are all cyclic.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 220, Issue 2, February 2016, Pages 711–734
نویسندگان
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