Results 11 to 20 of about 207 (37)
, 2016 In a paper published in 2012, the second author extended the well-known fact that Boolean algebras can be defined using only implication and a constant, to De Morgan algebras-this result led him to introduce, and investigate (in the same paper), the ...
Cornejo, Juan M. +1 more
core +2 more sources
Fuzzy soft set approach to ideal theory of regular AG-groupoids
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper aims to apply fuzzy sets and soft sets in combination to investigate algebraic properties of regular AG-groupoids. We initiate (∈γ; ∈γ qδ)-fuzzy soft left ideals (right ideals, bi-ideals and quasi-ideals) over AG-groupoids and explore some ...
Feng Feng +4 more
doaj +1 more source
, 2014 An LA-module over an LA-ring is defined in [19]. We define and construct a tensor product of two LA-modules. Although, LA-groups and LA-modules need not to be abelian, the new construction behaves like standard definition of the tensor product of usual ...
A. Alghamdi, F. Sahraoui
semanticscholar +1 more source
Two- and three-cocycles for Laver tables [PDF]
, 2014 We determine all 2- and 3-cocycles for Laver tables, an infinite sequence of finite structures obeying the left-selfdistributivity law; in particular, we describe simple explicit bases.
Dehornoy, Patrick, Lebed, Victoria
core +4 more sources
SUBDIRECT PRODUCT REPRESENTATIONS OF SOME UNARY EXTENSIONS OF SEMILATTICES
, 2008 An algebra 21 represents the sequence so = (0,3 ,1 ,1 , . . . ) if there are no constants in 21, there are exactly 3 distinct essentially unary polynomials in 2t and exactly 1 essentially n-ary polynomial in 21 for every η > 1.
J. Płonka
semanticscholar +1 more source
Some simplicial complexes of universal Osborn loops
, 2014 A loop is shown to be a universal Osborn loop if and only if it has a particular simplicial complex. A loop is shown to be a universal Osborn loop and obeys two new identities if and only if it has another particular simplicial complex.
Jaiyeola, Temitope Gbolahan
core +2 more sources
Holomorph of generalized Bol loops II
, 2015 The notion of the holomorph of a generalized Bol loop (GBL) is characterized afresh. The holomorph of a right inverse property loop (RIPL) is shown to be a GBL if and only if the loop is a GBL and some bijections of the loop are right (middle) regular ...
Jaíyéolá, Tèmít\dóp\dé Gbóláhàn +1 more
core +1 more source
Applications of self-distributivity to Yang-Baxter operators and their cohomology
, 2018 Self-distributive (SD) structures form an important class of solutions to the Yang--Baxter equation, which underlie spectacular knot-theoretic applications of self-distributivity.
Lebed, Victoria
core +3 more sources
Quandle cohomology is a Quillen cohomology
, 2018 We show that the cohomology groups usually associated with racks and quandles agree with the Quillen cohomology groups for the algebraic theories of racks and quandles, respectively. We also explain how this makes available the entire range of tools that
Szymik, Markus
core +1 more source
Cohomology of finite monogenic self-distributive structures [PDF]
, 2015 A shelf is a set with a binary operation~$\op$ satisfying $a \op (b \op c) = (a \op b) \op (a \op c)$. Racks are shelves with invertible translations $b \mapsto a \op b$; many of their aspects, including cohomological, are better understood than those of
Lebed, Victoria
core +2 more sources