In this paper, we study modules with chain condition on uncountably generated
submodules. We show that if an R-module M satisfies the ascending chain condition on …

In this article, we introduce and study the concept of countably generated dimension, which
is a Krull-like dimension extension of the concept of DCC on countably generated …

In this article, we introduce and study the concepts of non-small Krull dimension and non-
small Noetherian dimension of an R-module M, where R is an arbitrary associative ring …

In this article we introduce and study the concepts of uncountably generated Krull dimension
and uncountably generated Noetherian dimension of an R-module, where R is an arbitrary …

In the present paper, modules over integral domains and principal ideal domains that are
proper essential extensions of some submodules are classified. We introduce a new class of …

In this article, we study modules that satisfy the double infinite chain condition on non-small
submodules, denoted by ns-DICC. Using this concept we extend some of the basic results of …

: ﻩﺪﻴﮑﭼ ﻪﺑ ﻭ ﻢﻴﻨﮐﻲﻣ ﻲﺳﺭﺮﺑ، ﺪﻨﻨﮐﻲﻣ ﻕﺪﺻ ﮏﭼﻮﮐﺮﻴﻏ ﻱﺎﻫﻝﻭﺪﻣﺮﻳﺯ ﻱﻭﺭ ﻪﻧﺎﮔﻭﺩ ﺮﻴﺠﻧﺯ ﻁﺮﺷ ﺭﺩ ﻪﮐ ﺍﺭ ﻲﻳﺎﻫﻝﻭﺪﻣ، ﻪﻟﺎﻘﻣ ﻦﻳﺍ ﺭﺩ
ﻪﺑ ﺍﺭ ﺎﻫﻝﻭﺪﻣ DICC ﻲﻠﺻﺍ ﺞﻳﺎﺘﻧ ﺯﺍ ﻲﺧﺮﺑ ﻡﻮﻬﻔﻣ ﻦﻳﺍ ﺯﺍ ﻩﺩﺎﻔﺘﺳﺍ ﺎﺑ. ﻢﻴﻣﺎﻧﻲﻣ ﻝﻭﺪﻣ ns-DICC ﺍﺭ ﺎﻫ ﻥﺁ ﺭﺎﺼﺘﺧﺍ ﻱﺎﻫﻝﻭﺪﻣﺮﻳﺯ …‎

In this article we introduce and study the concepts of\alpha-almost quasi Artinian and\alpha-
quasi Krull modules. Using these concepts we extend some of the basic results of\alpha …