Results 11 to 20 of about 523 (235)
Fundamental motifs and parity within the crystallographic point groups. [PDF]
The Hasse diagram of the 3D point‐group classes is built with six motifs that have a well defined parity that determines their structure. Of the seven crystal systems, three are built with odd motifs, three are built with even motifs and the last one, the monoclinics, is `ambidextrous' as they are built with both.This paper analyzes the Hasse diagram ...
Julian MM, Macauley M.
europepmc +2 more sources
The Category of $S$-Fuzzy Posets [PDF]
In this paper, we define and consider, the category {\bf FPos}-$S$ of all $S$-fuzzy posets and action-preserving monotone maps between them. $S$-fuzzy poset congruences which play an important role in studying thecategorical properties of $S$-fuzzy ...
Leila Shahbaz
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On Rees Factor $\mathbf{S}$-Posets Satisfying Conditions $\mathbf{(PWP_{E})}$ or $\mathbf{(PWP_E)_{w}}$ [PDF]
Golchin and Rezaei introduced conditions $(PWP)$ and\linebreak $(PWP)_{w}$ in (Subpullbacks and flatness properties of $S$-posets). In this paper, we introduce conditions $(PWP_{E})$ and $(PWP_{E})_{w}$ as generalizations of these conditions ...
Zohre Khaki +2 more
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AbstractWe introduce so-called consistent posets which are bounded posets with an antitone involution$$'$$′where the lower cones of$$x,x'$$x,x′and of$$y,y'$$y,y′coincide provided thatx, yare different from 0, 1 and, moreover, ifx, yare different from 0, then their lower cone is different from 0, too.
Chajda I, Länger H.
europepmc +5 more sources
A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS [PDF]
In this paper, we investigate po-purity using finitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure.
R. Khosravi, M. Roueentan
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ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY [PDF]
In this paper, we study the categorical and algebraic properties, such as limits and colimits of the category Pos-S with respect to order dense embeddings. Injectivity with respect to this class of monomorphisms has been studied by the author and used to
L. Shahbaz
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The non-Abelian exponentiation theorem has recently been generalised to correlators of multiple Wilson line operators. The perturbative expansions of these correlators exponentiate in terms of sets of diagrams called webs, which together give rise to colour factors corresponding to connected graphs.
Dukes, M. +4 more
openaire +6 more sources
The coefficients of transitivity of the posets of MM-type being the highest supercritical poset
The representations of partially ordered sets (abbreviated as posets), introduced by L. A. Nazarova and A. V. Roiter (in matrix form) in 1972, play an important role in the modern representation theory. In his first paper on this topic M. M.
В. М. Бондаренко +2 more
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On homological classification of pomonoids by regular weak injectivity properties of S-posets
Zhang Xia, Laan Valdis
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Categorical Properties of Down Closed Embeddings [PDF]
Let $\mathcal M$ be a class of (mono)morphisms in a category $\mathcal A$. To study mathematical notions, such as injectivity, tensor products, flatness, one needs to have some categorical and algebraic information about the pair (${\mathcal A ...
Leila Shahbaz
doaj +1 more source

