Subdirectly Irreducible Nonidempotent Left Distributive Left Quasigroups
نویسندگان
چکیده
منابع مشابه
Subdirectly Irreducible Non-idempotent Left Distributive Left Quasigroups
Left distributive left quasigroups are binary algebras with unique left division satisfying the left distributive identity x(yz) ≈ (xy)(xz). In other words, binary algebras where all left translations are automorphisms. We provide a description and examples of non-idempotent subdirectly irreducible algebras in this class.
متن کاملLeft Distributive Left Quasigroups
Acknowledgement I wish to thank to everybody I learned anything from during past twenty six years. Above all, to my advisor, Jaroslav Ježek, for his support and insightful advices. To my inofficial coadvisor, Ralph McKenzie, for numerous inspirative conversations and for financial and other support during my stay at Vanderbilt University in Nashville. To Věra Trnková, Aleš Drápal, Tomáš Kepka, ...
متن کاملSelfdistributive Groupoids. Part A2: Non-idempotent Left Distributive Left Quasigroups
The present paper is a comprehensive survey of non-indempotent left distributive left quasigroups. It contains several new results about free groupoids and normal forms of terms in certain subvarieties. It is a continuation of a series of papers on selfdistributive groupoids, started by [KepN,03].
متن کاملPermutation representations of left quasigroups
The concept of a permutation representation has recently been extended from groups to quasigroups. Following a suggestion of Walter Taylor, the concept is now further extended to left quasigroups. The paper surveys the current state of the theory, giving new proofs where necessary to cover the general case of left quasigroups. Both the Burnside Lemma and the Burnside algebra appear in this new ...
متن کاملSubdirectly Irreducible differential Modes
We study a variety of modes (idempotent algebras with mutually commuting term operations), so called differential modes, having a strongly solvable chain 0 ≤ α ≤ 1 in their congruence lattices. We show an explicit description of subdirectly irreducible algebras in this variety, and use it to compute residual bounds of its subvarieties. It follows from our results that all subvarieties with a fi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2008
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870802067997