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pro vyhledávání: '"Avanish Kumar Chaturvedi"'
Publikováno v:
Mathematica Slovaca. 71:1361-1374
We introduce the concept of Z-symmetric rings. In fact, the classes of all semicommutative rings, nil rings, reduced rings, Artinian rings and eversible rings are Z-symmetric rings. In order to sustain our assertion, we provide a number of examples o
Publikováno v:
Volume: 33, Issue: 33 109-124
International Electronic Journal of Algebra
International Electronic Journal of Algebra
In 1979, Fleury studied a class of modules with finite spanning dimension and dually a class of modules with ascending chain condition on non-small submodules was studied by Lomp and Ozcan in 2011. In the present work, we explore and investigate some
Publikováno v:
Communications in Algebra. 49:4324-4333
We introduce the idea of nei-Noetherian and nei-Artinian modules and rings. We discuss some examples of nei-Noetherian (nei-Artinian) modules and study several properties of them. We characterize t...
Publikováno v:
Asian-European Journal of Mathematics. 15
For any two right R-modules M and N, M is said to be a ps-N-injective module if, any monomorphism f : soc(N) → M can be extended to N. Also, M is called psq-injective if M is a ps-M-injective module. We discuss some properties and characterizations
Publikováno v:
Communications in Algebra. 47:676-683
The Hilbert basis theorem says that if a ring R is Noetherian, then the polynomial ring R[x] is Noetherian. But, in the case of an Artinian ring R, the polynomial ring R[x] is not Artinian. In this...
Autor:
Avanish Kumar Chaturvedi
Publikováno v:
Algebra and its Applications ISBN: 9789811016509
Beaumont studied groups with isomorphic proper subgroups (see Beaumont: Bull Amer Math Soc 51, 381–387 1945 [1]). In Beaumont et al.: Trans Amer Math Soc 91(2), 209–219 1959 [2], Beaumont and Pierce consider the problem of determining all R-modul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0583f8fcf74141177595e5b24f34ad76
https://doi.org/10.1007/978-981-10-1651-6_24
https://doi.org/10.1007/978-981-10-1651-6_24
Publikováno v:
Asian-European Journal of Mathematics. :387-393
Let M1 and M2 be two R-modules. Then M2 is called M1-c-injective if every homomorphism α from K to M2, where K is a closed submodule of M1, can be extended to a homomorphism β from M1 to M2. An R-module M is called self-c-injective if M is M-c-inje
Publikováno v:
Algebra Colloquium. 16:397-402
In this paper, the concept of quasi-pseudo principally injective modules is introduced and a characterization of commutative semi-simple rings is given in terms of quasi-pseudo principally injective modules. An example of pseudo M-p-injective module
Publikováno v:
Asian-European Journal of Mathematics. :1250053
Let >M and N be two R-modules. NR is called singular M-p-injective if for every singular M-cyclic submodule X of MR, every homomorphism from X to N can be extended to a homomorphism from M to N. MR is quasi-singular prinicipally injective if M is a s