Volume 1, Issue 2

 

ارسال های اخیر

  • Counting subrings of $mathbb{Z}^n$ of non-zero co-rank 

    Chimni, S.؛ Chinta, G.؛ Takloo-Bighash, R. (Iranian Mathematical Society, 2020-06-01)
    In this paper we study subrings of $mathbb{Z^{n+k}}$ of co-rank $k$. We relate the number of such subrings $R$ with torsion subgroup $(mathbb{Z^{n+k}}/R)_{rm{tor}}$ of size $r$ to the number of full rank subrings of ...

  • A note on factorizations of finite groups 

    Bergman, G. M. (Iranian Mathematical Society, 2020-06-01)
    In Question 19.35 of the Kourovka Notebook, M. H. Hooshmand asks whether, given a finite group $G$ and a factorization $mathrm{card}(G)= n_1ldots n_k,$ one can always find subsets $A_1,ldots,A_k$ of $G$ with $mathrm{card ...

  • Understanding Wall's theorem on dependence of Lie relators in Burnside groups 

    Vaughan-Lee, M. (Iranian Mathematical Society, 2020-06-01)
    ‎G.E‎. ‎Wall [J‎. ‎Algebra 104 (1986)‎, ‎no‎. ‎1‎, ‎1--22; Lecture‎ ‎Notes in Mathematics‎, ‎pp. 191--197‎, ‎1456‎, ‎Springer-Verlag‎, ‎Berlin‎, ‎1990] gave two different proofs of a remarkable result about the‎ multilinear ...

  • Approximate biprojectivity and biflatness of some algebras over certain semigroups 

    Pourmahmood-Aghababa, H.؛ Sattari, M. H. (Iranian Mathematical Society, 2020-06-01)
    ‎We investigate (bounded) approximate biprojectivity of $l^1(S)$ for uniformly locally finite inverse semigroups‎. ‎As a consequence‎, ‎we show that when $S=mathcal{M}(G‎, ‎I)$ is the Brandt inverse semigroup‎, ‎then ...