Publication: On 2-absorbing submodule elements in le-modules and its generalizations
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Date
2022-01-01
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Abstract
In this paper, we introduce the concept of 2-absorbing submodule elements in an le-module M as follows: a proper submodule element q in M is said to be 2-absorbing for any r,s is an element of R and m is an element of M if rsm <= q, then either rs is an element of (q : e) or rm <= q or sm <= q. Moreover, we define some generalizations of the new concept such as weakly 2-absorbing, n-absorbing, weakly n-absorbing, (n,k)-absorbing, weakly (n,k)-absorbing submodule elements in le-modules. After presenting a main example for le-modules, we study some counter examples for the generalizations. In addition to giving some characterizations for the new concepts, we investigate the relationship between prime (primary) submodule elements and them.
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Matematik, Bilgisayar Bilimleri, Fizik, Disiplinlerarası Fizik ve İlgili Bilim ve Teknoloji Alanları, Temel Bilimler, Mathematics, Computer Science, Physics, Interdisciplinary Physics and Related Science and Technology Areas, Natural Sciences, MATEMATİK, UYGULAMALI, Temel Bilimler (SCI), FİZİK, MULTİDİSİPLİNER, MATHEMATICS, APPLIED, MATHEMATICS, Natural Sciences (SCI), PHYSICS, MULTIDISCIPLINARY, PHYSICS, Analysis, Applied Mathematics, Algebra and Number Theory, Numerical Analysis, Mathematics (miscellaneous), Modeling and Simulation, General Mathematics, Computational Theory and Mathematics, Physical Sciences, complete lattices, le-modules, submodule elements, 2-absorbing (weakly 2-absorbing) submodule elements
Citation
ASLANKARAYİĞİT UĞURLU E., "ON 2-ABSORBING SUBMODULE ELEMENTS IN LE-MODULES AND ITS GENERALIZATIONS", UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.84, sa.1, ss.99-108, 2022