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Semiregular and Weakly Regular Rings
For a module M, we say that a submodule N of M lies above a direct summand of M if there is a direct decomposition M = P⊕Q such that P⊆N and Q⋂N is a superfluous submodule of Q. In this case, Q⋂N is a superfluous submodule of M and Q⋂N⊆J(M).
A. A. Tuganbaev
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On weakly regular modules over commutative rings
In this paper, we introduce the class of weakly (von Neumann) regular modules and study its algebraic properties. We present some characterization of this class of modules. Finally, we show that a ring [Formula: see text] is perfect if and only if every [Formula: see text]-module is weakly regular.
Dawood Hassanzadeh-Lelekaami +1 more
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ON WEAKLY TRIPOTENT, LOCALLY INVO-REGULAR AND INVOLUTION t-CLEAN RINGS
S K Pandey
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ON WEAKLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS
2011In this paper, we have studied weakly regular rings and some generalizations of V-rings via GW-ideals. We have shown that: (1) If R is a left weakly regular ring whose maximal left (right) ideals are GW-ideals, then R is strongly regular; (2) If R is a right weakly regular ring whose maximal essential left ideals are GW-ideals, then R is ELT regular ...
Subedi, Tikaram, Buhphang, A. M.
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NI RINGS WHICH ARE WEAKLY π-REGULAR
2009In this paper, we prove that if a ring R with identity is NI and satisfies (CZ2), then R is right (left) weakly π-regular if and only if R/N ∗(R) is right (left) weakly π-regular, if and only if every strongly prime ideal of R is maximal.
SELVARAJ, C., PETCHİMUTHU, S.
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Hematology and oncology clinical care during the coronavirus disease 2019 pandemic
Ca-A Cancer Journal for Clinicians, 2020Manish A Shah +2 more
exaly

