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182. Regularly weakly based modules over right perfect rings and Dedekind domains
- Creator:
- Hrbek, Michal and Růžička, Pavel
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- matematika, mathematics, weak basis, regularly weakly based ring, Dedekind domain, perfect ring, 13, and 51
- Language:
- English
- Description:
- A weak basis of a module is a generating set of the module minimal with respect to inclusion. A module is said to be regularly weakly based provided that each of its generating sets contains a weak basis. We study (1) rings over which all modules are regularly weakly based, refining results of Nashier and Nichols, and (2) regularly weakly based modules over Dedekind domains., Michal Hrbek, Pavel Růžička., and Seznam literatury
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
183. Relationships between generalized Wiener integrals and conditional analytic Feynman integrals over continuous paths
- Creator:
- Kim, Byoung Soo and Hyun Cho, Dong
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- integrály, integrals, analogue of Wiener space, analytic conditional Feynman integral, change of scale formula, conditional Wiener integral, Wiener integral, 13, and 51
- Language:
- English
- Description:
- Let $C[0,t]$ denote a generalized Wiener space, the space of real-valued continuous functions on the interval $[0,t]$, and define a random vector $Z_n C[0,t]\to\mathbb R^{n+1}$ by Z_n(x)=\biggl(x(0)+a(0), \int_0^{t_1}h(s) {\rm d} x(s)+x(0)+a(t_1), \cdots,\int_0^{t_n}h(s) {\rm d} x(s)+x(0)+a(t_n)\biggr), where $a\in C[0,t]$, $h\in L_2[0,t]$, and $0<t_1 < \cdots< t_n\le t$ is a partition of $[0,t]$. Using simple formulas for generalized conditional Wiener integrals, given $Z_n$ we will evaluate the generalized analytic conditional Wiener and Feynman integrals of the functions $F$ in a Banach algebra which corresponds to Cameron-Storvick's Banach algebra $\mathcal S$. Finally, we express the generalized analytic conditional Feynman integral of $F$ as a limit of the non-conditional generalized Wiener integral of a polygonal function using a change of scale transformation for which a normal density is the kernel. This result extends the existing change of scale formulas on the classical Wiener space, abstract Wiener space and the analogue of the Wiener space $C[0,t]$., Byoung Soo Kim, Dong Hyun Cho., and Obsahuje bibliografické odkazy
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
184. Relative Gorenstein injective covers with respect to a semidualizing module
- Creator:
- Tavasoli, Elham and Salimi, Maryam
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- matematika, mathematics, semidualizing module, Gc-flat module, Gc-injective module, cover, envelope, 13, and 51
- Language:
- English
- Description:
- Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a result about the covering properties of the class of relative Gorenstein injective modules with respect to C which is a generalization of Theorem 1 by Enochs and Iacob (2015). Specifically, we prove that if for every Gc-injective module G, the character module G+ is Gc-flat, then the class GIc(R) Ac(R) is closed under direct sums and direct limits. Also, it is proved that under the above hypotheses the class GIc(R) Ac(R) is covering., Elham Tavasoli, Maryam Salimi., and Obsahuje bibliografii
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
185. Remarks on D-integral complete multipartite graphs
- Creator:
- Pavol Híc and Milan Pokorný
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- integrál, matice (matematika), mathematics, integrals, matrices, distance spectrum integral graph distance integral graph complete multipartite graph, integral graph, distance integral graph, complete multipartite graph, 13, and 51
- Language:
- English
- Description:
- A graph is called distance integral (or D-integral) if all eigenvalues of its distance matrix are integers. In their study of D-integral complete multipartite graphs, Yang and Wang (2015) posed two questions on the existence of such graphs. We resolve these questions and present some further results on D-integral complete multipartite graphs. We give the first known distance integral complete multipartite graphs {K_{{p_1},{p_2},{p_3}}} with p1 < p2 < p3, and {K_{{p_1},{p_2},{p_3},{p_4}}} with p1 < p2 < p3 < p4, as well as the infinite classes of distance integral complete multipartite graphs {K_{{a_1}{p_1},{a_2}{p_2},...,{a_s}{p_s}}} with s = 5, 6., Pavel Híc, Milan Pokorný., and Obsahuje seznam literatury
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
186. Remarks on the behaviour of higher-order derivations on the gluing of differential spaces
- Creator:
- Drachal, Krzysztof
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- matematika, mathematics, gluing of differential space, higher-order differential geometry, Sikorski differential space, 13, and 51
- Language:
- English
- Description:
- This paper is about some geometric properties of the gluing of order k in the category of Sikorski differential spaces, where k is assumed to be an arbitrary natural number. Differential spaces are one of possible generalizations of the concept of an infinitely differentiable manifold. It is known that in many (very important) mathematical models, the manifold structure breaks down. Therefore it is important to introduce a more general concept. In this paper, in particular, the behaviour of kth order tangent spaces, their dimensions, and other geometric properties, are described in the context of the process of gluing differential spaces. At the end some examples are given. The paper is self-consistent, i.e., a short review of the differential spaces theory is presented at the beginning., Krzysztof Drachal., and Obsahuje seznam literatury
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
187. Reminiscences on Miroslav Fiedler
- Creator:
- Charles R Johnson
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- matematika, mathematics, 13, and 51
- Language:
- English
- Description:
- Charles R. Johnson.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
188. SCAP-subalgebras of Lie algebras
- Creator:
- Chehrazi, Sara and Salemkar, Ali Reza
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- matematika, algebra, mathematics, Lie algebra, SCAP-subalgebra, chief series, solvable, supersolvable, 13, and 51
- Language:
- English
- Description:
- A subalgebra H of a finite dimensional Lie algebra L is said to be a SCAP-subalgebra if there is a chief series 0 = L0 \subset L1 \subset...\subset Lt = L of L such that for every i = 1, 2,..., t, we have H + Li = H + Li-1 or H ∩ Li = H ∩ Li-1. This is analogous to the concept of SCAP-subgroup, which has been studied by a number of authors. In this article, we investigate the connection between the structure of a Lie algebra and its SCAP-subalgebras and give some sufficient conditions for a Lie algebra to be solvable or supersolvable., Sara Chehrazi, Ali Reza Salemkar., and Obsahuje seznam literatury
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
189. Selective sampling with information-storage constraints
- Creator:
- Jehiel, Philippe and Steiner, Jakub
- Publisher:
- CERGE-EI
- Format:
- electronic, svazek, and 41 stran : ilustrace.
- Type:
- model:monograph and TEXT
- Subject:
- Kombinatorika. Teorie grafů. Matematická statistika. Operační výzkum. Matematické modelování, rozhodování, matematické modelování, decision making, mathematical modeling, 005.311.6, 519.673, (048.8), 13, and 519.1/.8
- Language:
- English and Czech
- Description:
- Philippe Jehiel, Jakub Steiner., Obsahuje bibliografii, and České a anglické resumé
- Rights:
- http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public
190. Separately radial and radial Toeplitz operators on the projective space and representation theory
- Creator:
- Quiroga-Barranco, Raul and Sanchez-Nungaray, Armando
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- matematika, mathematics, Toeplitz operator, projective space, 13, and 51
- Language:
- English
- Description:
- We consider separately radial (with corresponding group ${\mathbb{T}}^n$) and radial (with corresponding group ${\rm U}(n))$ symbols on the projective space ${\mathbb{P}^n({\mathbb{C}})}$, as well as the associated Toeplitz operators on the weighted Bergman spaces. It is known that the $C^*$-algebras generated by each family of such Toeplitz operators are commutative (see R. Quiroga-Barranco and A. Sanchez-Nungaray (2011)). We present a new representation theoretic proof of such commutativity. Our method is easier and more enlightening as it shows that the commutativity of the $C^*$-algebras is a consequence of the existence of multiplicity-free representations. Furthermore, our method shows how to extend the current formulas for the spectra of the corresponding Toeplitz operators to any closed group lying between ${\mathbb{T}}^n$ and ${\rm U}(n)$., Raul Quiroga-Barranco, Armando Sanchez-Nungaray., and Obsahuje bibliografii
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public