Yıl 2017, Cilt 22, Sayı 22, Sayfalar 133 - 146 2017-07-11
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## Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers

#### Ryan Gipson [1] , Hamid Kulosman [2]

##### 130 114

We investigate the atomicity and the AP property of the semigroup rings $F[X;M]$, where  $F$ is a field, $X$ is a variable and $M$ is a submonoid of the additive monoid of nonnegative rational numbers. The main notion that we introduce for the purpose of the investigation is the notion of essential generators of $M$.

Semigroup ring, atomic domain
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Konular Matematik Makaleler Yazar: Ryan Gipson Yazar: Hamid Kulosman
 Bibtex @araştırma makalesi { ieja325939, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {Prof. Dr. Abdullah HARMANCI}, year = {2017}, volume = {22}, pages = {133 - 146}, doi = {10.24330/ieja.325939}, title = {Atomic and AP semigroup rings \$F[X;M]\$, where \$M\$ is a submonoid of the additive monoid of nonnegative rational numbers}, key = {cite}, author = {Gipson, Ryan and Kulosman, Hamid} } APA Gipson, R , Kulosman, H . (2017). Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers. International Electronic Journal of Algebra, 22 (22), 133-146. DOI: 10.24330/ieja.325939 MLA Gipson, R , Kulosman, H . "Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers". International Electronic Journal of Algebra 22 (2017): 133-146 Chicago Gipson, R , Kulosman, H . "Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers". International Electronic Journal of Algebra 22 (2017): 133-146 RIS TY - JOUR T1 - Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers AU - Ryan Gipson , Hamid Kulosman Y1 - 2017 PY - 2017 N1 - doi: 10.24330/ieja.325939 DO - 10.24330/ieja.325939 T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 133 EP - 146 VL - 22 IS - 22 SN - 1306-6048-1306-6048 M3 - doi: 10.24330/ieja.325939 UR - http://dx.doi.org/10.24330/ieja.325939 Y2 - 2019 ER - EndNote %0 International Electronic Journal of Algebra Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers %A Ryan Gipson , Hamid Kulosman %T Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers %D 2017 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 22 %N 22 %R doi: 10.24330/ieja.325939 %U 10.24330/ieja.325939 ISNAD Gipson, Ryan , Kulosman, Hamid . "Atomic and AP semigroup rings $F[X;M]$, where $M$ is a submonoid of the additive monoid of nonnegative rational numbers". International Electronic Journal of Algebra 22 / 22 (Temmuz 2017): 133-146. http://dx.doi.org/10.24330/ieja.325939