منابع مشابه
On Strongly Equiprime Γ− near Rings
In this paper we obtain some equivalent conditions for strongly equiprime Γ− near rings N and the strongly equiprime radical Pse (N) coincides with Pse (L) where Pse (L) is the strongly equiprime radical of left operator near-ring L of N.
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In this note we prove several inequalities for regular near polygons. ∗This work was partly supported by the Grant-in-Aid for Scientific Research (No 14740072), the Ministry of Education, Science and Culture, JAPAN. †This work was partly done when the author was at the ComMaC center at the Pohang University of Science and Technology. He would like to thank the ComMaC-KOSEF for its support.
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Molodtsov introduced the theory of soft sets, which can be seen as an effective mathematical tool to deal with uncertainties, since it is free from the difficulties that the usual theoretical approaches have troubled. In this paper, we apply the definitions proposed by Ali et al. [M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl....
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where J is the all ones matrix and I is the identity. These matrix conditions are equivalent to the combinatorial conditions that the graph is both inand out-regular, and that the number of directed 2-paths from a vertex x to a vertex y is t if x = y, λ if x → y, and μ otherwise. Recently, these graphs were studied by Klin et al. [2], including some new constructions and a list of feasible para...
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We show that if $R$ is a ring with an arbitrary idempotent $e$ such that $eRe$ and $(1-e)R(1-e)$ are both strongly nil-clean rings, then $R/J(R)$ is nil-clean. In particular, under certain additional circumstances, $R$ is also nil-clean. These results somewhat improves on achievements due to Diesl in J. Algebra (2013) and to Koc{s}an-Wang-Zhou in J. Pure Appl. Algebra (2016). ...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1986
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s001309150001782x