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EXACTNESS THEOREM AND POOR M-COSEQUENCES
Khashyarmanesh, K.,Salarian, Sh. Korean Mathematical Society 1997 대한수학회지 Vol.34 No.4
The purpose of this paper is to establish connection between certain complex of modules of generalized fractions and the concept of cosequence in commutative algebra. The main theorem of the paper leads to characterization, in terms of modules of generalized fractions, of regular (co) sequences.
ON THE ANNIHILATOR GRAPH OF GROUP RINGS
Afkhami, Mojgan,Khashyarmanesh, Kazem,Salehifar, Sepideh Korean Mathematical Society 2017 대한수학회보 Vol.54 No.1
Let R be a commutative ring with nonzero identity and G be a nontrivial finite group. Also, let Z(R) be the set of zero-divisors of R and, for $a{\in}Z(R)$, let $ann(a)=\{r{\in}R{\mid}ra=0\}$. The annihilator graph of the group ring RG is defined as the graph AG(RG), whose vertex set consists of the set of nonzero zero-divisors, and two distinct vertices x and y are adjacent if and only if $ann(xy){\neq}ann(x){\cup}ann(y)$. In this paper, we study the annihilator graph associated to a group ring RG.
On the annihilator graph of group rings
Mojgan Afkhami,Kazem Khashyarmanesh,Sepideh Salehifar 대한수학회 2017 대한수학회보 Vol.54 No.1
Let $R$ be a commutative ring with nonzero identity and $G$ be a nontrivial finite group. Also, let $Z(R)$ be the set of zero-divisors of $R$ and, for $a\in Z(R)$, let $\T{ann}(a) = \lbrace r\in R\ \vert \ ra=0\rbrace$. The annihilator graph of the group ring $RG$ is defined as the graph $AG(RG)$, whose vertex set consists of the set of nonzero zero-divisors, and two distinct vertices $x$ and $y$ are adjacent if and only if $\T{ann}(xy)\neq \T{ann}(x) \cup \T{ann}(y)$. In this paper, we study the annihilator graph associated to a group ring $RG$.
Generalized Cayley graph of upper triangular matrix rings
Mojgan Afkhami,Seyed Hosein Hashemifar,Kanzem Khashyarmanesh 대한수학회 2016 대한수학회보 Vol.53 No.4
Let $R$ be a commutative ring with the non-zero identity and $n$ be a natural number. $\Gamma ^n_R$ is a simple graph with $R^n \setminus \{0\}$ as the vertex set and two distinct vertices $X$ and $Y$ in $R^{n}$ are adjacent if and only if there exists an $n \times n$ lower triangular matrix $A$ over $R$ whose entries on the main diagonal are non-zero such that $AX^{t}=Y^{t}$ or $AY^{t}=X^{t}$, where, for a matrix $B$, $B^{t}$ is the matrix transpose of $B$. $\Gamma ^n_R$ is a generalization of Cayley graph. Let $T_n (R)$ denote the $n \times n$ upper triangular matrix ring over $R$. In this paper, for an arbitrary ring $R$, we investigate the properties of the graph $\Gamma ^n_{T_n(R)}$.
GENERALIZED CAYLEY GRAPH OF UPPER TRIANGULAR MATRIX RINGS
Afkhami, Mojgan,Hashemifar, Seyed Hosein,Khashyarmanesh, Kazem Korean Mathematical Society 2016 대한수학회보 Vol.53 No.4
Let R be a commutative ring with the non-zero identity and n be a natural number. ${\Gamma}^n_R$ is a simple graph with $R^n{\setminus}\{0\}$ as the vertex set and two distinct vertices X and Y in $R^n$ are adjacent if and only if there exists an $n{\times}n$ lower triangular matrix A over R whose entries on the main diagonal are non-zero such that $AX^t=Y^t$ or $AY^t=X^t$, where, for a matrix B, $B^t$ is the matrix transpose of B. ${\Gamma}^n_R$ is a generalization of Cayley graph. Let $T_n(R)$ denote the $n{\times}n$ upper triangular matrix ring over R. In this paper, for an arbitrary ring R, we investigate the properties of the graph ${\Gamma}^n_{T_n(R)}$.
When the Comaximal Graph of a Lattice is Toroidal
Afkhami, Mojgan,Javaheri, Khadijeh Ahmad,Khashyarmanesh, Kazem Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.3
In this paper we investigate the toroidality of the comaximal graph of a finite lattice.
Shirani, Kobra,Bostan, Hassan Badie,Baroti, Ashkan,Hassanzadeh, Mohammad,Khashyarmanesh, Zahra,Haghighi, Hamideh Moalemzadeh,Karimi, Gholamreza KOREAN PHARMACOPUNCTURE INSTITUTE 2018 Journal of pharmacopuncture Vol.21 No.3
Objectives: Ma-al-shaeer is a popular beverage in Islamic countries. The aim of this study was to determine the concentrations of methanol and ethanol in most consumed brands of Ma-al-shaeer in Iran. Methods: Eighty-one Ma-al-shaeer samples which commonly used in Iran were provided. Methanol and ethanol contents were determined by gas chromatography with flame ionization detector. Results: The mean methanol concentrations in Iranian and foreign brands was $129.84{\pm}205.38mg/L$ and $110.157{\pm}135.98mg/L$, respectively. Although mean ethanol contents of Iranian brands was $1.2{\pm}2.41mg/L$, ethanol level in foreign ones was lower than LOQ. Conclusion: Since the most Ma-al-shaeer brands had methanol pollution at different levels establishment of a definitive relationship between the methanol content and toxicological effects seem to be vital. EDI of methanol for Iranian people through consumption of Maal-shaeer was determined 0.023mg/kg bw/day.
Kobra Shirani,Hassan Badie Bostan,Ashkan Baroti,Mohammad Hassanzadeh,Zahra Khashyarmanesh,Hamideh Moalemzadeh Haghighi,Gholamreza Karimi 대한약침학회 2018 Journal of pharmacopuncture Vol.21 No.3
Objectives: Ma-al-shaeer is a popular beverage in Islamic countries. The aim of this study was to determine the concentrations of methanol and ethanol in most consumed brands of Ma-al-shaeer in Iran. Methods: Eighty-one Ma-al-shaeer samples which commonly used in Iran were provided. Methanol and ethanol contents were determined by gas chromatography with flame ionization detector. Results: The mean methanol concentrations in Iranian and foreign brands was 129.84±205.38 mg/L and 110.157±135.98 mg/L, respectively. Although mean ethanol contents of Iranian brands was 1.2±2.41 mg/L, ethanol level in foreign ones was lower than LOQ. Conclusion: Since the most Ma-al-shaeer brands had methanol pollution at different levels establishment of a definitive relationship between the methanol content and toxicological effects seem to be vital. EDI of methanol for Iranian people through consumption of Ma-al-shaeer was determined 0.023mg/kg bw/day.