Zobrazeno 1 - 10
of 218
pro vyhledávání: '"Mario Petrich"'
Autor:
Mario Petrich
Publikováno v:
Mathematica Bohemica, Vol 145, Iss 3, Pp 225-240 (2020)
Completely regular semigroups $\mathcal{CR}$ are considered here with the unary operation of inversion within the maximal subgroups of the semigroup. This makes $\mathcal{CR}$ a variety; its lattice of subvarieties is denoted by $\mathcal{L(CR)}$. We
Externí odkaz:
https://doaj.org/article/72669cb917cd423199ac01897ef4c57d
Autor:
Mario Petrich
Publikováno v:
Mathematica Bohemica, Vol 145, Iss 1, Pp 1-14 (2020)
Completely regular semigroups are unions of their (maximal) subgroups with the unary operation within their maximal subgroups. As such they form a variety whose lattice of subvarieties is denoted by $\mathcal L(\mathcal C\mathcal R)$. We construct a
Externí odkaz:
https://doaj.org/article/1a64979f2f9c48f985af6d2e933f59b6
Autor:
Mario Petrich
Publikováno v:
Semigroup Forum. 100:513-541
Completely regular semigroups with the unary operation of inversion within their maximal subgroups form a variety under inclusion denoted by $$\mathcal {C}\mathcal {R}$$. The lattice of its subvarieties is denoted by $$\mathcal {L}(\mathcal {C}\mathc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ff242879b21d72a56fcbdb5ecd4eaba
https://doi.org/10.1007/s00233-019-10053-w
https://doi.org/10.1007/s00233-019-10053-w
Autor:
Mario Petrich
Publikováno v:
Mathematica Slovaca. 69:541-556
The class 𝒞ℛ of completely regular semigroups considered with the unary operation of inversion within maximal subgroups forms a variety. The B-relation on the lattice ℒ(𝒞ℛ) of subvarieties of 𝒞ℛ identifies two varieties if they conta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d694aff47f53c9610e311a1cdcc42209
https://doi.org/10.1515/ms-2017-0246
https://doi.org/10.1515/ms-2017-0246
Autor:
Mario Petrich, Norman R. Reilly
This book is a unified treatment of the most important core developments in the theory of completely regular semigroup theory as it stands today. This volume focuses on the lattice of varieties of completely regular semigroups. Since any in-depth s
Autor:
Mario Petrich
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica. 55:1-22
The class CR of completely regular semigroups considered as algebras with binary multiplication and unary operation of inversion forms a variety. Kernel, trace, local and core relations, denoted by K, T, L and C, respectively, are quite useful in stu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e40fe2585414f563a3a05b2e968b225
https://doi.org/10.1556/012.2018.55.1.1366
https://doi.org/10.1556/012.2018.55.1.1366
Autor:
Mario Petrich
Publikováno v:
Acta Mathematica Hungarica. 154:429-456
The class \({\mathcal{CR}}\) of completely regular semigroups equipped with the unary operation of inversion forms a variety whose lattice of subvarieties is denoted by \({\mathcal{L(CR)}}\). The variety \({\mathcal B}\) of all bands induces two rela
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14c7277b1891ffff2c77b575cb2f59ff
https://doi.org/10.1007/s10474-017-0784-5
https://doi.org/10.1007/s10474-017-0784-5
Autor:
Mario Petrich
Publikováno v:
Semigroup Forum. 94:371-389
Completely regular semigroups $$\mathcal {C}\mathcal {R}$$ are unions of their subgroups with the unary operation within their maximal subgroups. As such they form a variety whose lattice of subvarieties is denoted by $$\mathcal {L}(\mathcal {C}\math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9820f3e7113da2910ce0af2d6cbbe738
https://doi.org/10.1007/s00233-017-9849-6
https://doi.org/10.1007/s00233-017-9849-6
Autor:
Mario Petrich
Publikováno v:
Communications in Algebra. 45:4588-4604
Let 𝒞ℛ denotes the variety of completely regular semigroups considered with the unary operation of inversion. The global study of the lattice of subvarieties of 𝒞ℛ depends heavily on various decompositions. Some of the most fruitful among t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6481e641d1388eacee13bcf166ec8f0
https://doi.org/10.1080/00927872.2016.1272693
https://doi.org/10.1080/00927872.2016.1272693
Autor:
Mario Petrich
Publikováno v:
Communications in Algebra. 45:2783-2794
Completely regular semigroups S are taken here with the unary operation of inversion within the maximal subgroups of S. As such they form a variety 𝒞ℛ whose lattice of subvarieties is denoted by ℒ(𝒞ℛ). The relation on ℒ(𝒞ℛ) which i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c820f2d4c3597459a3fa933ffb9fbebc
https://doi.org/10.1080/00927872.2016.1233190
https://doi.org/10.1080/00927872.2016.1233190