Fuzzy Maximal Sub-Modules
نویسندگان
چکیده
منابع مشابه
SEMI-RADICALS OF SUB MODULES IN MODULES
Let be a commutative ring and be a unitary module. We define a semi prime sub module of a module and consider various properties of it. Also we define semi-radical of a sub module of a module and give a number of its properties. We define modules which satisfy the semi-radical formula and present the existence of such a module.
متن کاملSemi-radicals of Sub modules in Modules
Abstract: Let be a commutative ring and be a unitary module. We define a semiprime submodule of a module and consider various properties of it. Also we define semi-radical of a submodule of a module and give a number of its properties. We define modules which satisfy the semi-radical formula and present the existence of such a module.
متن کاملProjective maximal submodules of extending regular modules
We show that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. Hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. As aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. This generalizes and simplifies a result of Dung and Smith. As another consequen...
متن کاملprojective maximal submodules of extending regular modules
we show that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. as aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. this generalizes and simplifies a result of dung and smith. as another consequen...
متن کاملIntuitionistic fuzzy soft modules
Molodtsov (1999) initiated the concept of soft sets in [1]. Maji et al. (2003) defined some operations on soft sets in [22]. Aktaş and Çağman (2007) generalized soft sets by defining the concept of soft groups in [16]. After them, Sun et al. (2008) gave soft modules in [21]. In this paper, the concept of an intuitionistic fuzzy soft module is introduced and some operations on intuitionistic fuz...
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ژورنال
عنوان ژورنال: Iraqi Journal of Science
سال: 2020
ISSN: 2312-1637,0067-2904
DOI: 10.24996/ijs.2020.61.5.24