Volume 3, Issue 2


ارسال های اخیر

  • The total graph of a commutative semiring with respect to proper ideals 

    Ebrahimi Sarvandi, zahra؛ Ebrahimi Atani, S. (University of Guilan, 2015-12-01)
    Let $I$ be a proper ideal of a commutative semiring $R$ and let $P(I)$ be the set of all elements of $R$ that are not prime to $I$. In this paper, we investigate the total graph of $R$ with respect to $I$, denoted by ...

  • A class of J-quasipolar rings 

    Halicioglu, Sait؛ Calci, Mete Burak؛ Harmanci, Abdullah (University of Guilan, 2015-12-01)
    In this paper, we introduce a class of $J$-quasipolar rings. Let $R$ be a ring with identity. An element $a$ of a ring $R$ is called {it weakly $J$-quasipolar} if there exists $p^2 = pin comm^2(a)$ such that $a + p$ or ...

  • Castelnuovo-Mumford regularity of products of monomial ideals 

    Yang, Sisi؛ Chu, Lizhong؛ Qian, Yufeng (University of Guilan, 2015-12-01)
    Let $R=k[x_1,x_2,cdots, x_N]$ be a polynomial ring over a field $k$. We prove that for any positive integers $m, n$, $text{reg}(I^mJ^nK)leq mtext{reg}(I)+ntext{reg}(J)+text{reg}(K)$ if $I, J, Ksubseteq R$ are three monomial ...

  • nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2 

    Polkouei, Mikhak؛ Hashemi, Mansour (University of Guilan, 2015-12-01)
    Here we consider all finite non-abelian 2-generator $p$-groups ($p$ an odd prime) of nilpotency class two and study the probability of having $n^{th}$-roots of them. Also we find integers $n$ for which, these groups are ...

  • Small submodules with respect to an arbitrary submodule 

    Beyranvand, Reza؛ moradi, fatemeh (University of Guilan, 2015-12-01)
    Let $R$ be an arbitrary ring and $T$ be a submodule of an $R$-module $M$. A submodule $N$ of $M$ is called $T$-small in $M$ provided for each submodule $X$ of $M$, $Tsubseteq X+N$ implies that $Tsubseteq X$. We study this ...

  • Omega-almost Boolean rings 

    KISHORE, PHANI (University of Guilan, 2015-12-01)
    In this paper the concept of an $Omega$- Almost Boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $Omega$- Almost Boolean ring over a locally Boolean space.