Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings
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DOI: 10.1016/j.jalgebra.2022.03.009
Abstract: We apply set-theoretic methods to study projective modules and their generalizations over transfinite extensions of simple artinian rings R. We prove that if R is small, then the Weak Diamond implies that projectivity of an… read more here.
Keywords: projective modules; artinian rings; simple artinian; projectivity ... See more keywords
Classifying annihilating-ideal graphs of commutative artinian rings
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DOI: 10.1080/00927872.2018.1439040
Abstract: ABSTRACT In this article we investigate the annihilating-ideal graph of a commutative ring, introduced by Behboodi and Rakeei in [10]. Our main goal is to determine which algebraic properties of a ring are reflected in… read more here.
Keywords: graphs commutative; classifying annihilating; annihilating ideal; artinian rings ... See more keywords