AbstractWe study aspects of the algebraic structure shared by a certain family of recursively generated arrays related to the operation of Nim-addition. We first observe that each individual array represents a countably infinite, commutative loop (in the sense of quasigroups). We then prove that each loop in the family is monogenic (generated by a single element in a non-associative fashion), and use this to determine all loop homomorphisms between members of the family
We give an introduction to the problem of computable algebras. Specifically, the algebras of loops a...
We construct a certain algebro-geometric version L (X) of the free loop space for a complex algebrai...
The paper considers computer algebra in a non-commutative setting. So far, suchinvestigations have b...
We study aspects of the algebraic structure shared by a certain family of recur-sively generated arr...
AbstractWe study aspects of the algebraic structure shared by a certain family of recursively genera...
In this thesis I shall be exploring the normal and characteristic structure of quasigroups and loops...
The basis investigation of quasi-variety grids and quasi-identities for commutative loops of Mufangi...
In this paper, Bol-Moufang types of a particular quasi neutrosophic triplet loop (BCI-algebra), chri...
A survey of the methods of the theory of quasigroups and loops in algebra and geometry is presented ...
Let X be a non empty set and f a map from X to X. Considering f as a 1-ary operation on X we study t...
summary:A natural loop structure is defined on the set $U_4$ of unimodular upper-triangular matrices...
Summary. Elementary axioms and theorems on the theory of algebraic structures, taken from the book [...
Abstract. The role of the parastrophes in the theory of quasigroups and loops is well known. It is o...
The thesis deals with supernilpotence in loops, building on three equivalent definitions of higher c...
Abstract. An automorphic loop (or A-loop) is a loop whose inner mappings are automorphisms. Every el...
We give an introduction to the problem of computable algebras. Specifically, the algebras of loops a...
We construct a certain algebro-geometric version L (X) of the free loop space for a complex algebrai...
The paper considers computer algebra in a non-commutative setting. So far, suchinvestigations have b...
We study aspects of the algebraic structure shared by a certain family of recur-sively generated arr...
AbstractWe study aspects of the algebraic structure shared by a certain family of recursively genera...
In this thesis I shall be exploring the normal and characteristic structure of quasigroups and loops...
The basis investigation of quasi-variety grids and quasi-identities for commutative loops of Mufangi...
In this paper, Bol-Moufang types of a particular quasi neutrosophic triplet loop (BCI-algebra), chri...
A survey of the methods of the theory of quasigroups and loops in algebra and geometry is presented ...
Let X be a non empty set and f a map from X to X. Considering f as a 1-ary operation on X we study t...
summary:A natural loop structure is defined on the set $U_4$ of unimodular upper-triangular matrices...
Summary. Elementary axioms and theorems on the theory of algebraic structures, taken from the book [...
Abstract. The role of the parastrophes in the theory of quasigroups and loops is well known. It is o...
The thesis deals with supernilpotence in loops, building on three equivalent definitions of higher c...
Abstract. An automorphic loop (or A-loop) is a loop whose inner mappings are automorphisms. Every el...
We give an introduction to the problem of computable algebras. Specifically, the algebras of loops a...
We construct a certain algebro-geometric version L (X) of the free loop space for a complex algebrai...
The paper considers computer algebra in a non-commutative setting. So far, suchinvestigations have b...
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