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ANNIHILATOR GRAPHS OF COMMUTATOR POSETS
Varmazyar, Rezvan The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.1
Let P be a commutator poset with Z(P) its set of zero-divisors. The annihilator graph of P, denoted by AG(P), is the (undirected) graph with all elements of $Z(P){\setminus}\{0\}$ as vertices, and distinct vertices x, y are adjacent if and only if $ann(xy)\;{\neq}\;(x)\;{\cup}\;ann(y)$. In this paper, we study basic properties of AG(P).
Effect of Ni on Microstructure and Creep Behavior of A356 Aluminum Alloy
Mohammad Varmazyar,Shahrouz Yousefzadeh,Sheikhi Mohammad Morad 대한금속·재료학회 2022 METALS AND MATERIALS International Vol.28 No.3
The effect of 0.25, 0.5 and 1 wt% Ni addition on the impression creep behavior of the cast A356 alloy was investigated. Optical and scanning electron microscopy (SEM) equipped with energy dispersive spectrometry (EDS) were used forexamination of the microstructure. The alloy’s creep properties were investigated using the impression creep technique undernormalized stress of 0.022–0.03 (corresponding to 600–675 MPa) and temperature of 473–513 K. The results showed thatthe creep properties of A356 alloy were improved by the addition of Ni. The improved creep properties were attributed tothe modification of eutectic silicon and the formation of Ni-rich intermetallics. Calculating the values of stress exponent (n)and creep activation energy (Q) indicated that the dominant mechanism was the lattice self-diffusion climb controlled andNi had no effect on the creep mechanism.
ANNIHILATOR GRAPHS OF COMMUTATOR POSETS
( Rezvan Varmazyar ) 호남수학회 2018 호남수학학술지 Vol.40 No.1
Let P be a commutator poset with Z(P) its set of zero-divisors. The annihilator graph of P, denoted by AG(P), is the (undirected) graph with all elements of Z(P) | {0} as vertices, and distinct vertices x, y are adjacent if and only if ann(xy) ≠ ann(x) ∪ ann(y). In this paper, we study basic properties of AG(P).
On graded $(m, n)$-closed submodules
Rezvan Varmazyar 대한수학회 2023 대한수학회논문집 Vol.38 No.4
Let $A$ be a $G$-graded commutative ring with identity and $M$ a graded $A$-module. Let $m, n$ be positive integers with $m>n$. A proper graded submodule $L$ of $M$ is said to be graded $(m, n)$-closed if $a^{m}_g\cdot x_t\in L$ implies that $a^{n}_g\cdot x_t\in L$, where $a_g\in h(A)$ and $x_t\in h(M)$. The aim of this paper is to explore some basic properties of these class of submodules which are a generalization of graded $(m, n)$-closed ideals. Also, we investigate $GC^{m}_n-rad$ property for graded submodules.
ZERO-DIVISOR GRAPHS OF MULTIPLICATION MODULES
이상철,Rezvan Varmazyar 호남수학회 2012 호남수학학술지 Vol.34 No.4
In this study, we investigate the concept of zero-divisor graphs of multiplication modules over commutative rings as a nat-ural generalization of zero-divisor graphs of commutative rings. In particular, we study the zero-divisor graphs of the module Zn over the ring Z of integers, where n is a positive integer greater than 1.
Semiprime submodules of graded multiplication modules
이상철,Rezvan Varmazyar 대한수학회 2012 대한수학회지 Vol.49 No.2
Let G be a group. Let R be a G-graded commutative ring with identity and M be a G-graded multiplication module over R. A proper graded submodule Q of M is semiprime if whenever InK ⊆ Q,where I ⊆ h(R), n is a positive integer, and K h(M), then IK⊆Q. We characterize semiprime submodules of M. For example, we show that a proper graded submodule Q of M is semiprime if and only if grad(Q) ∩ h(M) = Q ∩ h(M). Furthermore if M is finitely generated,then we prove that every proper graded submodule of M is contained in a graded semiprime submodule of M. A proper graded submodule Q of M is said to be almost semiprime if (grad(Q) ∩ h(M))n(grad(0M) ∩ h(M))= (Q ∩ h(M))n(grad(0M) ∩ Q ∩ h(M)):Let K, Q be graded submodules of M. If K and Q are almost semiprime in M such that Q + K ̸= M and Q ∩ K Mg for all g 2 G, then we prove that Q + K is almost semiprime in M.
ZERO-DIVISOR GRAPHS OF MULTIPLICATION MODULES
Lee, Sang Cheol,Varmazyar, Rezvan The Honam Mathematical Society 2012 호남수학학술지 Vol.34 No.4
In this study, we investigate the concept of zero-divisor graphs of multiplication modules over commutative rings as a natural generalization of zero-divisor graphs of commutative rings. In particular, we study the zero-divisor graphs of the module $\mathbb{Z}_n$ over the ring $\mathbb{Z}$ of integers, where $n$ is a positive integer greater than 1.
SEMIPRIME SUBMODULES OF GRADED MULTIPLICATION MODULES
Lee, Sang-Cheol,Varmazyar, Rezvan Korean Mathematical Society 2012 대한수학회지 Vol.49 No.2
Let G be a group. Let R be a G-graded commutative ring with identity and M be a G-graded multiplication module over R. A proper graded submodule Q of M is semiprime if whenever $I^nK{\subseteq}Q$, where $I{\subseteq}h(R)$, n is a positive integer, and $K{\subseteq}h(M)$, then $IK{\subseteq}Q$. We characterize semiprime submodules of M. For example, we show that a proper graded submodule Q of M is semiprime if and only if grad$(Q){\cap}h(M)=Q+{\cap}h(M)$. Furthermore if M is finitely generated then we prove that every proper graded submodule of M is contained in a graded semiprime submodule of M. A proper graded submodule Q of M is said to be almost semiprime if (grad(Q)$\cap$h(M))n(grad$(0_M){\cap}h(M)$) = (Q$\cap$h(M))n(grad$(0_M){\cap}Q{\cap}h(M)$). Let K, Q be graded submodules of M. If K and Q are almost semiprime in M such that Q + K $\neq$ M and $Q{\cap}K{\subseteq}M_g$ for all $g{\in}G$, then we prove that Q + K is almost semiprime in M.
CHROMATIC NUMBER OF THE ZERO-DIVISOR GRAPHS OVER MODULES
Lee, Sang Cheol,Varmazyar, Rezvan Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.2
Let R be a commutative ring with identity and let M be an R-module. The main purpose of this paper is to calculate the chromatic number of the zero-divisor graphs over modules.
Simulation of combustion in a porous-medium diesel engine
Arash Mohammadi,Mostafa Varmazyar,Reza Hamzeloo 대한기계학회 2018 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.32 No.5
The future internal-combustion (IC) engines should have minimum emissions level under lowest feasible fuel consumption. This aim can be achievable with a homogeneous combustion process in diesel engines. We used a porous medium (PM) to homogenize the combustion process. This research studies simulation of a direct-injection diesel engine, equipped with a chemically inert hemispherical PM. Methane is injected into a hot PM, assuming mounted up the cylinder in head. Combustion with lean mixture occurs inside PM. A numerical model of PM engine was carried out using a modified version of the KIVA-3V code. PM results were evaluated with experimental data of unsteady combustion-wave of methane in a porous tube. The results show the mass fraction of methane, CO, NO and temperature in solid and gas phases of the PM and in-cylinder fluid. Also presented are the effects of injection timing and compression ratio on combustion.