Results 71 to 80 of about 466,881 (179)
Let R be a commutative with non-zero identity, let A be a R-module. In this paper submodule H of an R-module A to be Soc-prime if whenever r ∈ R, a ∈ A with < a > ≤ Soc(A) and ra ∈ H then either a ∈ H or r ∈ [H: A].
Haithab A. Shahad, Nuhad S. Al-Muthafar
semanticscholar +1 more source
A generalization of primary ideals and strongly prime submodules
We present ∗-primary submodules, a generalization of the concept of primary submodules of an R-module. We show that every primary submodule of a Noetherian R-module is ∗-primary. Among other things, we show that over a commutative domain R, every torsion
Afroozeh Jafari, M. Baziar, S. Safaeeyan
semanticscholar +1 more source
Design and Operation of Photovoltaic‐Driven Electrocatalytic Water Splitting for Hydrogen Production
Photovoltaic‐driven electrocatalytic water splitting offers a scalable route to green hydrogen. This review introduces fundamental photovoltaic principles and key PV performance metrics, compares different PV–EC configurations, and provides practical guidance on design, operation, and PV–EC matching. Key bottlenecks and future directions for efficiency
Zhenlan Dou +6 more
wiley +1 more source
Some results on prime and primary submodules
This article is devoted to study some properties of prime and primary submodules. First we characterize prime submodules of free modules and give a primality condition for certain submodules in terms of associated prime ideals.
Vega, Agustín Marcelo +2 more
core +1 more source
On graded prime and primary submodules
Let G be a multiplicative group. Let R be a G-graded commutative ring and M a G-graded R-module. Various properties of graded prime submodules and graded primary submodules of M are discussed.
TEKİR, ÜNSAL
core +2 more sources
In this paper, considering L-algebras, which include a significant number of other algebraic structures, we present a definition of modules on L-algebras (L-modules). Then we provide some examples and obtain some results on L-modules.
Simin Saidi Goraghani +1 more
doaj +1 more source
On $ \Phi $-powerful submodules and $ \mathrm{\Phi} $-strongly prime submodules
Let $ R $ be a commutative ring with identity and $ N $ be a submodule of an $ R $-module $ M $. We say a nonnil submodule $ N $ of an $ R $-module $ M $ is a $ \mathrm{\Phi} $-powerful (resp., $ \mathrm{\Phi} $-strongly prime) submodule, if $ \mathrm ...
Waheed Ahmad Khan +3 more
semanticscholar +1 more source
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
ABSTRACT Honey bees (Apis mellifera) are vital pollinators in fruit‐producing agroecosystems like highbush blueberry (HBB) and cranberry (CRA). However, their health is threatened by multiple interacting stressors, including pesticides, pathogens, and nutritional changes.
Huan Zhong +25 more
wiley +1 more source
(n − 1, n)-weakly prime submodules in direct product of modules [PDF]
Let n ≥ 2 be a positive integer, R be a commutative ring with identity and M be a unitary R-module . In this paper we study the (n − 1, n)-weakly prime submodules of direct product of modules.
M. Ebrahimpour
doaj +1 more source

