On adequate and generalized adequate duo-rings and elementary divisor duo-rings (in Ukrainian) |
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| Author |
Lviv University, Department of Mechanics and Mathematics
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| Abstract |
By introduction the notion of right adequate element the~theory of
adequate rings is extended to the noncommutative case. The~new classes of
noncommutative elementary divisors rings and Hermitian rings are described.
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| Keywords |
right adequate element, adequate rings, noncommutative rings
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| DOI |
doi:10.30970/ms.9.2.115-119
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Reference |
1. Kaplansky I. Elementary divisors and modules Trans. Amer. Math. Soc. – 1949. – V.66. – P.467–491.
2. Туганбаев А.А. Целозамкнутые кольца Матем. сб. – 1981. – Т.115, Вып.4. – С.544–559. 3. Туганбаев А.А. Дистрибутивные нетеровы кольца Вестн. Московского универ. cер. 1. – 1980. – №2. – С.30–34. 4. Забавский Б.В., Комарницкий Н.Я. Дистрибутивные области с элементарными делителями Укр. матем. ж. – 1990. – Т.42, №7. – С.1000–1004. 5. Забавський Б.В. Про комутативнi кiльця елементарних дiльникiв Вiсн. Львiвського унiвер. – 1990. – Вип.34. – С.53–54. 6. Забавський Б.В. Про $PP$-квазiдуо-кiльця елементарних дiльникiв Алгера i топологiя: тематичний зб. наук. праць. -- Київ, 1993. -- С.40--49. 7. Henriksen M. Some remarks about elementary divisors rings Mich. Math. J. – 1955/56. – V.3. – P.159–163. 8. Gillman L., Henriksen M. Some remarks about elementary divisors rings Trans. Amer. Math. Soc. – 1956. – V.82. – P.362–365. |
| Pages |
115-119
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| Volume |
9
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| Issue |
2
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| Year |
1998
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |