Volume 9, Issue 2

 

ارسال های اخیر

  • On solutions of the Diophantine equation $F_{n_{1}}+F_{n_{2}}+F_{n_{3}}+F_{n_{4}}=2^a$ 

    Tiebekabe, P.؛ Diouf, I. (University of Guilan, 2021-10-01)
    Let $(F_n)_{n\geq 0}$ be the Fibonacci sequence given by $F_0 = 0, F_1 = 1$ and $F_{n+2} = F_{n+1}+F_n$ for $n \geq 0$. In this paper, we solve all powers of two which are sums of four Fibonacci numbers with a few exceptions ...

  • Generalized Prime Ideal Factorization of Submodules 

    Thulasi, K. R.؛ Duraivel, T.؛ Mangayarcarassy, S. (University of Guilan, 2021-10-01)
    In this article, we introduce generalized prime ideal factorization for all proper submodules of a finitely generated module over a Noetherian ring. We show that the generalized prime ideal factorization of a product of ...

  • Poset properties with respect to semi-ideal based zero-divisor graph 

    Elavarasan, B؛ Porselvi, K (University of Guilan, 2021-10-01)
    In this paper, we discuss some properties of poset $P$ determined by semi-ideal based zero-divisor graph $G_K(P),$ for a semi-ideal $K$ of $P.$ We investigate some interesting properties if $G_K(P)$ contains a cycle. ...

  • On e-small Compressible Modules 

    Diop, P.؛ Dia, M. (University of Guilan, 2021-10-01)
    Let $R$ be a commutative ring with identity and let M be an (left) unitary $R$-module. In this paper, we introduce a detail and study the concept of e-small compressible as a generalization of the compressible module, and ...

  • Valuation near rings 

    Khodadadpour, E.؛ Roodbarylor, T. (University of Guilan, 2021-10-01)
    In this paper, the authors have defined the valuation near ring. They have proved sometheorem, for example, they have shown every valuation near ring is a local near ring and the ideals of N are totally ordered by inclusion. ...

  • On Closed Homotypical Varieties of Semigroups 

    Abbas, Sh.؛ Ashraf, W.؛ Rafiquee, N. (University of Guilan, 2021-10-01)
    It is known that all subvarieties of the variety of all semigroups are not absolutely closed. So, we determine some closed homotypical varieties of semigroups determined by the identities  $axy=x^2ayx$, $axy=xa^2ya$, ...

  • On 2-absorbing and weakly 2-absorbing principally right primary ideals 

    Groenewald, N. (University of Guilan, 2021-10-01)
    Let R be a noncommutative ring. The purpose of this note is to investigate the concept of 2-absorbing (resp., weakly 2-absorbing) p right primary ideals generalizing 2-absorbing (resp., weakly 2-absorbing) ideals of ...

  • Conjectures of Ene, Herzog, Hibi, and Saeedi Madani in the {\sl Journal of Algebra} 

    Farley, J. (University of Guilan, 2021-10-01)
    In the preprint of ``Pseudo-Gorenstein and Level Hibi Rings,'' Ene, Herzog, Hibi, and Saeedi Madani assert (Theorem 4.3) that for a regular planar lattice $L$ with poset of join-irreducibles $P$, the following are ...

  • BZS Rings, II 

    Farag, M.؛ Tucci, R. (University of Guilan, 2021-10-01)
    An associative ring R, not necessarily commutative and not necessarily with identity, is called Boolean-zero square orBZS if every element of R is either idempotent or nilpotent of index 2. We continue our investigation ...

  • On Characteristic Ideal Bundles of a Lie Algebra Bundle 

    Kumar, R. (University of Guilan, 2021-10-01)
    We show that, every derivation of a Lie algebra bundle can be viewed as an inner derivation if one embeds the Lie algebra bundle into a larger Lie algebra bundle. We define, the radical and the nilradical bundle of a Lie ...

  • Semi-topological UP-algebras 

    Khalaf, A. B.؛ Yousef, M. A. (University of Guilan, 2021-10-01)
    The aim of this paper is to study the concept of semi-topological UP-algebras which is a UP-algebra supplied with a certain type of topology that makes the binary operation defined on it semi-topologically continuous. This ...