http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
- 中文 을 입력하시려면 zhongwen을 입력하시고 space를누르시면됩니다.
- 北京 을 입력하시려면 beijing을 입력하시고 space를 누르시면 됩니다.
RISS 인기검색어
- 검색키워드
- 저자 : Bouba, El Mehdi (검색결과 4 건)
- 무료
- 기관 내 무료
- 유료
-
ON w-COPURE FLAT MODULES AND DIMENSION
Bouba, El Mehdi,Kim, Hwankoo,Tamekkante, Mohammed Korean Mathematical Society 2020 대한수학회보 Vol.57 No.3
Let R be a commutative ring. An R-module M is said to be w-flat if Tor <sup>R</sup><sub>1</sub> (M, N) is GV -torsion for any R-module N. It is known that every flat module is w-flat, but the converse is not true in general. The w-flat dimension of a module is defined in terms of w-flat resolutions. In this paper, we study the w-flat dimension of an injective w-module. To do so, we introduce and study the so-called w-copure (resp., strongly w-copure) flat modules and the w-copure flat dimensions for modules and rings. The relations between the introduced dimensions and other (classical) homological dimensions are discussed. We also study change of rings theorems for the w-copure flat dimension in various contexts. Finally some illustrative examples regarding the introduced concepts are given.
-
On ω-copure flat modules and dimension
El Mehdi Bouba,김환구,Mohammed Tamekkante 대한수학회 2020 대한수학회보 Vol.57 No.3
Let $R$ be a commutative ring. An $R$-module $M$ is said to be $w$-flat if $\Tor^{R}_{1}(M,N)$ is $GV$-torsion for any $R$-module $N$. It is known that every flat module is $w$-flat, but the converse is not true in general. The $w$-flat dimension of a module is defined in terms of $w$-flat resolutions. In this paper, we study the $w$-flat dimension of an injective $w$-module. To do so, we introduce and study the so-called $w$-copure (resp., strongly $w$-copure) flat modules and the $w$-copure flat dimensions for modules and rings. The relations between the introduced dimensions and other (classical) homological dimensions are discussed. We also study change of rings theorems for the $w$-copure flat dimension in various contexts. Finally some illustrative examples regarding the introduced concepts are given.
-
On strongly quasi $J$-ideals of commutative rings
El Mehdi Bouba,Yassine EL-Khabchi,Mohammed Tamekkante 대한수학회 2024 대한수학회논문집 Vol.39 No.1
Let $R$ be a commutative ring with identity. In this paper, we introduce a new class of ideals called the class of strongly quasi $J$-ideals lying properly between the class of $J$-ideals and the class of quasi $J$-ideals. A proper ideal $I$ of $R$ is called a strongly quasi $J$-ideal if, whenever $a$, $b\in R$ and $ab\in I$, then $a^{2}\in I$ or $b\in {\rm Jac}(R)$. Firstly, we investigate some basic properties of strongly quasi $J$-ideals. Hence, we give the necessary and sufficient conditions for a ring $R$ to contain a strongly quasi $J$-ideals. Many other results are given to disclose the relations between this new concept and others that already exist. Namely, the primary ideals, the prime ideals and the maximal ideals. Finally, we give an idea about some strongly quasi $J$-ideals of the quotient rings, the localization of rings, the polynomial rings and the trivial rings extensions.
-
ON STRONGLY 1-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS
Almahdi, Fuad Ali Ahmed,Bouba, El Mehdi,Koam, Ali N.A. Korean Mathematical Society 2020 대한수학회보 Vol.57 No.5
Let R be a commutative ring with 1 ≠ 0. In this paper, we introduce a subclass of the class of 1-absorbing primary ideals called the class of strongly 1-absorbing primary ideals. A proper ideal I of R is called strongly 1-absorbing primary if whenever nonunit elements a, b, c ∈ R and abc ∈ I, then ab ∈ I or c ∈ ${\sqrt{0}}$. Firstly, we investigate basic properties of strongly 1-absorbing primary ideals. Hence, we use strongly 1-absorbing primary ideals to characterize rings with exactly one prime ideal (the UN-rings) and local rings with exactly one non maximal prime ideal. Many other results are given to disclose the relations between this new concept and others that already exist. Namely, the prime ideals, the primary ideals and the 1-absorbing primary ideals. In the end of this paper, we give an idea about some strongly 1-absorbing primary ideals of the quotient rings, the polynomial rings, and the power series rings.
연관 검색어 추천
이 검색어로 많이 본 자료
활용도 높은 자료
