Fibrinogen
发表于 2025-3-25 06:06:01
Noncommutative Gröbner Basis over a Divisible and Annihilable Ringed by Deepak Kapur and Yongyang Cai , and an algorithm for computing Gröbner bases in the commutative case was also given. If . is an ideal of the associative algebra . with non-commuting variables .., ., .. over a valuation ring ., a method for computing a Gröbner basis of . was proposed recentl
FELON
发表于 2025-3-25 09:44:23
Some Properties of Mono-correct and Epi-correct Modulestively epimorphisms) then . ≃ .. In category ., this property is known as the Cantor Bernstein theorem and it’s dual. In category of abelian groups, we show that the Cantor Bernstein theorem is not verified. In .-mod, we study some relations between mono-correctness of modules and some algebraic ope
CERE
发表于 2025-3-25 15:11:33
Strongly Split Poisson Algebrashe one of strongly graded algebras, we introduce in a natural way the category of strongly split Poisson algebras and show that if . is a centerless strongly split Poisson algebra, then . is the direct sum of split-ideals, each one being a split-simple strongly split Poisson algebra. In case of bein
受人支配
发表于 2025-3-25 18:25:10
Localization in a Duo-Ring and Polynomials Algebra Ore generated by S, . the polynomials algebra of variables in S, M and M ’ two left A- modules, we show that the ring of fractions ... exists and is isomorphic to the ring . quotiented by the ideal . and also ... is isomorphic to .. We have also shown that the module of fractions ... exists and ...
评论性
发表于 2025-3-25 21:58:43
Connections Techniques in Graded Morita Rings Theorys structure. As a consequence, we show that if the initial couple of bimodules have their 0-homogeneous components tight and the initial pairings are onto, then . decomposes as the direct sum of (graded) ideals . where any . is a graded Morita ring. Furthermore, . whence . ≠ ..
损坏
发表于 2025-3-26 01:54:47
Basic and Free Simplicity of Lorentz Type Algebraser the .-algebra . which is free as a .-module and its .-basis is .. This allows us to define the Lorentz type algebra . over any (unital and commutative) ring ..It is well known that the real Lorentz algebra is simple, however its complexification is not. We study under what conditions on the groun
琐碎
发表于 2025-3-26 06:40:47
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fibula
发表于 2025-3-26 11:25:49
On Commuting ,-Operators in Jordan Algebras0 implies that the .-operators of . and . commute: .... = ..... We show that the result may be not true without the assumption on non-degeneracity of .. We give also a more simple proof of the mentioned result in the case of linear Jordan algebras, that is, when . . ≠ 2.
因无茶而冷淡
发表于 2025-3-26 16:09:13
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繁忙
发表于 2025-3-26 18:02:36
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