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In this paper, we study a theory for the structure of $\tau_w$-Loewy series of modules over commutative rings, where $\tau_w$ is the hereditary torsion theory induced by the so-called $w$-operation, and explore the relationship between $\tau_w$-Loewy modules and $w$-Artinian modules.
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참고문헌 (15)
참고문헌 신청
P. E. Bland / 1998 / Topics in Torsion Theory / Wiley-VCH Verlag Berlin GmbH
José L. Bueso / 2007 / Semiartinian modules relative to a torsion theory / Communications in Algebra 13(3):631~644
Alberto Facchini / 1981 / Loewy and Artinian modules over commutative rings / Annali di Matematica Pura ed Applicata 128(1):359~374
Sarah Glaz / 1977 / Flat ideals II / Manuscripta Mathematica 22(4):325~341
Wolfgang Krull / 1928 / Zur Theorie der allgemeinen Zahlringe / Mathematische Annalen 99(1):51~70
José L. Bueso / 2007 / Semiartinian modules relative to a torsion theory / Communications in Algebra 13(3):631~644
Alberto Facchini / 1981 / Loewy and Artinian modules over commutative rings / Annali di Matematica Pura ed Applicata 128(1):359~374
Sarah Glaz / 1977 / Flat ideals II / Manuscripta Mathematica 22(4):325~341
Wolfgang Krull / 1928 / Zur Theorie der allgemeinen Zahlringe / Mathematische Annalen 99(1):51~70
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