8 citations · 15 across the 12 of their papers we have counts for
12 papers
On identities in centrally nilpotent Moufang loops and centrally nilpotent A-loops
N. I. Sandu
This paper proves that the variety generated by a centrally nilpotent Moufang loop (or centrally nilpotent A-loop) is finitely based.
On rectifiable spaces and its algebraical equivalents, topological algebraic systems and Mal'cel algebras (continuation)
N. I. Sandu
This paper is a natural continuation of paper "On rectifiable spaces and its algebraical equivalents, topological algebraic systems and Mal'cev algebras" published in arxiv:1309.45…
On rectifiable spaces and its algebraical equivalents, topological algebraic systems and Mal'cev algebras
N. I Sandu
We investigate the rectifiable spaces, the Mal'cev algebras, the almost quasivarieties of topological algebraic systems and their free systems and others. It specifies and corrects…
Radicals and embeddings of Moufang loops in alternative loop algebras
N. I. Sandu
The paper defines the notion of alternative loop algebra F[Q] for any nonassociative Moufang loop Q as being any non-zero homomorphic image of the loop algebra FQ of a loop Q over…
Simple Moufang loops and Galois extensions
Nicolae Sandu
The paper establishes an one-to-one correspondence between simple Moufang loops and Paige loops constructed over Galois extension over prime field in its algebraic closure. Using t…
Simple Moufang loops and alternative algebras
Nicolae Sandu
Let a Moufang loop Q contain a non-unitary subloop, which is a simple loop. Then Q is not embedded into a loop of invertible elements of any alternative algebra.