Minimal prime ideals in seminearrings

Minimal prime ideals in seminearrings S Senthil R Perumal Abstract This paper deals with the properties of ideals in seminearrings with special reference to right duo seminearrings. We formulate the concept of prime ideal and minimal prime ideal in a seminearring. In the case of Noetherian right duo seminearring, we derive some additional properties. 05 01 2021 012100 http://dx.doi.org/10.1088/crossmark-policy iopscience.iop.org Minimal prime ideals in seminearrings Journal of Physics: Conference Series paper Published under licence by IOP Publishing Ltd http://creativecommons.org/licenses/by/3.0/ https://iopscience.iop.org/info/page/text-and-data-mining 10.1088/1742-6596/1850/1/012100 https://iopscience.iop.org/article/10.1088/1742-6596/1850/1/012100 https://iopscience.iop.org/article/10.1088/1742-6596/1850/1/012100/pdf https://iopscience.iop.org/article/10.1088/1742-6596/1850/1/012100/pdf https://iopscience.iop.org/article/10.1088/1742-6596/1850/1/012100 https://iopscience.iop.org/article/10.1088/1742-6596/1850/1/012100/pdf Compositio Mathematica. Van Hoorn 18 65 1967 Fundamental notions in the theory of seminearrings Pilz 23 1983 Near-Rings Transactions of the American Mathematical Society. Henriksen 115 110 1965 10.1090/S0002-9947-1965-0194880-9 The space of minimal prime ideals of a commutative ring McCoy 7 1948 Rings and ideals Canadian Journal of Mathematics. Johnson 14 517 1962 10.4153/CJM-1962-043-3 Prime ideals in vector lattices Proc. London Math. Soc. Kist 3 31 1963 10.1112/plms/s3-13.1.31 Minimal Prime Ideals in Commutative semigroups AIMS Mathematics Manikandan 5 4974 2020 10.3934/math.2020318 Mate and mutual mate functions in a seminearring