Prime ideals and Noetherian properties in vector lattices

Abramovich, Y.A., Aliprantis, C.D.: An Invitation to Operator Theory. Graduate Studies in Mathematics, vol. 50. American Mathematical Society, Providence (2002)

Aliprantis, C.D., Burkinshaw, O.: Positive Operators. Springer, Dordrecht. Reprint of the 1985 original (2006)

Aliprantis, C.D., Tourky, R.: Cones and Duality. Graduate Studies in Mathematics, vol. 84. American Mathematical Society, Providence (2007)

Cabrera, M., Dales, H.G., Rodríguez, Á.: Maximal left ideals in Banach algebras. Bull. Lond. Math. Soc. 52(1), 1–15 (2020)

Cohen, I.S.: Commutative rings with restricted minimum condition. Duke Math. J. 17, 27–42 (1950)

Huijsmans, C.B.: Prime Ideals in Commutative Rings and in Riesz Spaces. Ph.D. Thesis. Leiden University (1973)

Johnson, D.G., Kist, J.E.: Prime ideals in vector lattices. Can. J. Math. 14, 517–528 (1962)

Kaniuth, E.: A Course in Commutative Banach Algebras. Graduate Texts in Mathematics, vol. 246. Springer, New York (2009)

Kaplansky, I.: Elementary divisors and modules. Trans. Am. Math. Soc. 66, 464–491 (1949)

Luxemburg, W.A.J., Zaanen, A.C.: Riesz spaces. Vol. I. North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., New York. North-Holland Mathematical Library (1971)

Schaefer, H.H.: Banach Lattices and Positive Operators. Springer, New York. Die Grundlehren der mathematischen Wissenschaften, Band 215 (1974)

Wortel, M.: Lexicographic cones and the ordered projective tensor product. In: Positivity and noncommutative analysis, Trends Math., pp. 601–609. Birkhäuser/Springer, Cham (2019)

Yosida, K.: On the representation of the vector lattice. Proc. Imp. Acad. Tokyo 18, 339–342 (1942)

Zaanen, A.C.: Introduction to Operator Theory in Riesz Spaces. Springer, Berlin (1996)