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
summary:This paper gives a brief survey of certain recently developing aspects of the study of loops...
International audienceThe firing rule of Petri nets relies on a residuation operation for the commut...
AbstractWe investigate the multiplicative loops of finite semifields. We show that the group generat...
AbstractWe study aspects of the algebraic structure shared by a certain family of recursively genera...
We study aspects of the algebraic structure shared by a certain family of recur-sively generated arr...
summary:In this part the smallest non-abelian quasivarieties for nilpotent Moufang loops are describ...
summary:A natural loop structure is defined on the set $U_4$ of unimodular upper-triangular matrices...
We give an introduction to the problem of computable algebras. Specifically, the algebras of loops a...
AbstractWe define an infinite array A of nonnegative integers based on a linear recurrence, whose se...
We construct a monoidal structure on the category of assemblers. As an application of this, we const...
summary:In this part of the paper we study the quasiidentities of the nilpotent Moufang loops. In pa...
Summary. Elementary axioms and theorems on the theory of algebraic structures, taken from the book [...
AbstractBerlekamp asked the question “What is the habitat of ∗2?” (See Guy, 1996 [6].) It is possibl...
The Collatz conjecture is a very intriguing topic since a simple 3n+1 algebraic expression can creat...
A new subgroup, the endocenter, is defined. The endocenter is a functorial center . The endocenter ...
summary:This paper gives a brief survey of certain recently developing aspects of the study of loops...
International audienceThe firing rule of Petri nets relies on a residuation operation for the commut...
AbstractWe investigate the multiplicative loops of finite semifields. We show that the group generat...
AbstractWe study aspects of the algebraic structure shared by a certain family of recursively genera...
We study aspects of the algebraic structure shared by a certain family of recur-sively generated arr...
summary:In this part the smallest non-abelian quasivarieties for nilpotent Moufang loops are describ...
summary:A natural loop structure is defined on the set $U_4$ of unimodular upper-triangular matrices...
We give an introduction to the problem of computable algebras. Specifically, the algebras of loops a...
AbstractWe define an infinite array A of nonnegative integers based on a linear recurrence, whose se...
We construct a monoidal structure on the category of assemblers. As an application of this, we const...
summary:In this part of the paper we study the quasiidentities of the nilpotent Moufang loops. In pa...
Summary. Elementary axioms and theorems on the theory of algebraic structures, taken from the book [...
AbstractBerlekamp asked the question “What is the habitat of ∗2?” (See Guy, 1996 [6].) It is possibl...
The Collatz conjecture is a very intriguing topic since a simple 3n+1 algebraic expression can creat...
A new subgroup, the endocenter, is defined. The endocenter is a functorial center . The endocenter ...
summary:This paper gives a brief survey of certain recently developing aspects of the study of loops...
International audienceThe firing rule of Petri nets relies on a residuation operation for the commut...
AbstractWe investigate the multiplicative loops of finite semifields. We show that the group generat...